Martinez, Jorge

• 2372310
  Martínez, Jorge(1-FL)
  Sublattices generated by polars. (English summary)
  Comm. Algebra 35 (2007), no. 12, 3948--3964.
  06D22 (06B05)
  
• 2341271
  Martínez, Jorge(1-FL); Zenk, Eric R.(1-VDB)
  Regularity in algebraic frames. (English summary)
  J. Pure Appl. Algebra 211 (2007), no. 2, 566--580.
  06D22 (06F15 06F25 54B35)
  
• 2306538
  Hager, Anthony W.(1-WESL); Martínez, Jorge(1-FL)
  Patch-generated frames and projectable hulls. (English summary)
  Appl. Categ. Structures 15 (2007), no. 1-2, 49--80.
  06D22 (06F25 16E50 54G05)
  
• 2306534
  Martinez, Jorge(1-FL)
  Editorial [The frames and spaces of ordered algebraic structures---a celebration of the 80th birthday of Bernhard Banaschewski].
  Appl. Categ. Structures 15 (2007), no. 1-2, 1--2.
  01A70
  
• 2291748
  Martínez, Jorge(1-FL)
  Dimension in algebraic frames. (English summary)
  Czechoslovak Math. J. 56(131) (2006), no. 2, 437--474.
  06D22 (06F15)
  
• 2217275
  Martínez, Jorge(1-FL)
  Unit and kernel systems in algebraic frames. (English summary)
  Algebra Universalis 55 (2006), no. 1, 13--43.
  06F25 (06F20 18Bxx)
  
• 2217561
  Martínez, Jorge(1-FL); Zenk, Eric R.(1-VDB)
  Nuclear typing of frames vs spatial selectors. (English. English summary)
  Appl. Categ. Structures 14 (2006), no. 1, 35--61.
  06D22 (18B30 18B35 54A05)
• 2185613
  Martínez, Jorge(1-FL); Zenk, Eric R.(1-VDB)
  Yosida frames. (English. English summary)
  J. Pure Appl. Algebra 204 (2006), no. 3, 473--492.
  06D22 (54B35)
• 2259494
  Martínez, Jorge(1-FL); Zenk, Eric R.(1-VDB)
  Dimension in algebraic frames. II. Applications to frames of ideals in $C(X)$. (English summary)
  Comment. Math. Univ. Carolin. 46 (2005), no. 4, 607--636.
  54C30 (03G10 16P60 54B35)
  
• 2043330
  Martinez, Jorge(1-FL)
  Polar functions. II. Completion classes of archimedean $f$-algebras vs. covers of compact spaces. (English. English summary)
  J. Pure Appl. Algebra 190 (2004), no. 1-3, 225--249.
  06B30 (06F30 54D80)
• 2037528
  Martinez, Jorge(1-FL); Zenk, Eric R.(1-FL)
  When an algebraic frame is regular. (English. English summary)
  Algebra Universalis 50 (2003), no. 2, 231--257.
  06D22 (06F20 06F25)
• 2026651
  Martinez, Jorge(1-FL)
  Polar functions. III. On irreducible maps vs. essential extensions of Archimedean $l$-groups with unit. (English. English summary)
  General algebra and ordered sets.
  Tatra Mt. Math. Publ. 27 (2003), 189--211.
  06F20 (54C10)
• 2026163
  Henriksen, Melvin(1-HMUD); Martínez, Jorge(1-FL); Woods, R. Grant(3-MB)
  Spaces $X$ in which all prime $z$-ideals of $C(X)$ are minimal or maximal. (English. English summary)
  Comment. Math. Univ. Carolin. 44 (2003), no. 2, 261--294.
  54C40 (06F25)
• 1982815
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  $\alpha$-Specker spaces. (English. English summary)
  Topology Appl. 131 (2003), no. 1, 57--77.
  54Gxx (06F25 26A21 54Cxx)
• 2083045
  Martínez, Jorge(1-FL)
  Polar functions. I. The summand-inducing hull of an Archimedean $l$-group with unit. (English. English summary)
  Ordered algebraic structures, 275--299,
  Dev. Math., 7,
  Kluwer Acad. Publ., Dordrecht, 2002.
  06E05 (06F15 54C30 54D80)
• 2083035
  Martínez, Jorge(1-FL)
  Hull classes of Archimedean lattice-ordered groups with unit: a survey. (English. English summary)
  Ordered algebraic structures, 89--121,
  Dev. Math., 7,
  Kluwer Acad. Publ., Dordrecht, 2002.
  06F15 (18B30 54C40)
• 2083030
  Ordered algebraic structures.
  Proceedings of the Conference on Lattice-Ordered Groups and $f$-Rings held at the University of Florida, Gainesville, FL, February 28--March 3, 2001. Edited by Jorge Martínez. Developments in Mathematics, 7.
  Kluwer Academic Publishers, Dordrecht, 2002. xii+321 pp. ISBN 1-4020-0752-3
  06-01 (06F05 06F15 06F25 16-06 20-06 54-06)
• 1916614
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  The ring of $\alpha$-quotients. (English. English summary)
  Algebra Universalis 47 (2002), no. 2, 157--182.
  06F25 (13B30)
• 1902661
  Darnel, Michael R.(1-INSB); Martinez, Jorge(1-FL)
  Radical classes of lattice-ordered groups vs. classes of compact spaces. (English. English summary)
  Order 19 (2002), no. 1, 35--72.
  06F15 (06B05 54G05)
• 1890185
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  Functorial rings of quotients. III. The maximum in Archimedean $f$-rings. (English. English summary)
  J. Pure Appl. Algebra 169 (2002), no. 1, 51--69.
  18B99 (06F25 54G99)
• 1875905
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  $C$-epic compactifications. (English. English summary)
  Topology Appl. 117 (2002), no. 2, 113--138.
  54D35
• 1865615
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  Maximum monoreflections and essential extensions. (English. English summary)
  Appl. Categ. Structures 9 (2001), no. 5, 517--523.
  18A40 (06F25)
• 1855962
  Martinez, Jorge(1-FL); McGovern, Warren Wm.(1-BLGS)
  When the maximum ring of quotients of $C(X)$ is uniformly complete. (English. English summary)
  Topology Appl. 116 (2001), no. 2, 185--198.
  54H10 (06F25 54C35 54D35 54G05)
• 1851539
  Bella, A.(I-MESS); Martinez, J.(1-FL); Woodward, S. D.
  Algebras and spaces of dense constancies. (English. English summary)
  Czechoslovak Math. J. 51(126) (2001), no. 3, 449--461.
  54C05 (06F25 54C35)
• 1834983
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  Functorial approximation to the lateral completion in Archimedean lattice-ordered groups with weak unit. (English. English summary)
  Rend. Sem. Mat. Univ. Padova 105 (2001), 87--110.
  06F15 (18D99 46J10 54C40)
• 1763902
  Darnel, Michael R.(1-INSB); Martinez, Jorge(1-FL)
  Hyper-special valued lattice-ordered groups. (English. English summary)
  Forum Math. 12 (2000), no. 4, 477--512.
  06F15 (54G12)
• 1736782
  Finn, Robert T.(1-MI); Martinez, Jorge(1-FL)
  Global dimension of rings of functions. (English. English summary)
  Comm. Algebra 28 (2000), no. 2, 1075--1089.
  13D05 (16S60 54C40)
• 1740743
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  Hulls for various kinds of $\alpha$-completeness in Archimedean lattice-ordered groups. (English. English summary)
  Order 16 (1999), no. 1, 89--103 (2000).
  06F20 (18D99 54C05 54C40)
• 1676679
  Finn, R. T.(1-FL); Martinez, J.(1-FL); McGovern, W. W.(1-FL)
  The separated cellularity of a topological space and finite separation spaces. (English. English summary)
  Special issue in honor of W. W. Comfort (Curacao, 1996).
  Topology Appl. 97 (1999), no. 1-2, 165--174.
  54A25 (54G05)
• 1695546
  Martinez, Jorge(1-FL); McGovern, Warren W.(1-FL)
  Rings of quotients of $f$-rings by Gabriel filters of ideals. (English. English summary)
  Comm. Algebra 27 (1999), no. 7, 3495--3511.
  13J25 (06F25 16W80)
• 1709267
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  More on the laterally $\sigma$-complete reflection of an Archimedean lattice-ordered group. (English. English summary)
  Order 15 (1998/99), no. 3, 247--260.
  18D99 (06F20 54C30)
• 1651866
  Hager, A. W.(1-WESL); Martinez, J.(1-FL)
  Singular Archimedean lattice-ordered groups. (English. English summary)
  Algebra Universalis 40 (1998), no. 2, 119--147.
  06F15 (06F20 18A20)
• 1631253
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  Pushout-invariant extensions and monoreflections. (English. English summary)
  J. Pure Appl. Algebra 129 (1998), no. 3, 263--295.
  18A40 (13B99)
• 1600701
  Madden, James J.(1-LAS); Martinez, Jorge(1-FL)
  Monoreflections of commutative rings with identity. (English. English summary)
  Comm. Algebra 26 (1998), no. 1, 29--33.
  18B99 (13A99)
• 1445114
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  The laterally $\sigma$-complete reflection of an Archimedean lattice-ordered group. (English. English summary)
  Ordered algebraic structures (Curaçao, 1995), 217--236,
  Kluwer Acad. Publ., Dordrecht, 1997.
  06F15
• 1445111
  Finn, Robert T.(1-FL); Martinez, Jorge(1-FL); McGovern, Warren W.(1-FL)
  Commutative singular $f$-rings. (English. English summary)
  Ordered algebraic structures (Curaçao, 1995), 149--166,
  Kluwer Acad. Publ., Dordrecht, 1997.
  06F25 (13D05 13F05)
• 1445105
  Ordered algebraic structures.
  Proceedings of the conference held in Curaçao, June 26--30, 1995. Edited by W. Charles Holland and Jorge Martinez.
  Kluwer Academic Publishers, Dordrecht, 1997. x+332 pp. ISBN 0-7923-4377-8
  06-06 (06Fxx)
• 1433441
  Finn, Robert T.(1-FL); Martinez, Jorge(1-FL); McGovern, Warren W.(1-FL)
  The global dimension of an $f$-ring via its space of minimal prime ideals. (English. English summary)
  Comm. Algebra 25 (1997), no. 3, 905--921.
  06F25 (13J25 16E50 16E60)
• 1460822
  Henriksen, Melvin(1-HMUD); Larson, Suzanne(1-LYLM); Martinez, Jorge(1-FL)
  The intermediate value theorem for polynomials over lattice-ordered rings of functions. (English. English summary)
  Papers on general topology and applications (Amsterdam, 1994), 108--123,
  Ann. New York Acad. Sci., 788,
  New York Acad. Sci., New York, 1996.
  54C30 (06F25 16S60 54G05)
• 1406312
  Bella, Angelo(I-MESS); Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL); Woodward, Scott; Zhou, Hao
  Specker spaces and their absolutes. I. (English. English summary)
  Topology Appl. 72 (1996), no. 3, 259--271.
  54C30 (06E15 06F30 54G05)
• 1387909
  Martinez, J.(1-FL); Woodward, S.
  Specker spaces and their absolutes. II. (English. English summary)
  Algebra Universalis 35 (1996), no. 3, 333--341.
  54C30 (06F15 06F25 54G05)
• 1348255
  Martinez, Jorge(1-FL)
  Categorically perfect rings. (English. English summary)
  Comm. Algebra 23 (1995), no. 10, 3641--3651.
  18A40 (13A99 16B50)
• 1344517
  Conrad, Paul(1-KS); Martinez, Jorge(1-FL)
  On adjoining units to hyper-Archimedean $l$-groups.
  Czechoslovak Math. J. 45(120) (1995), no. 3, 503--516.
  06F20 (20F60)
• 1322778
  Martinez, J.(1-FL)
  The maximal ring of quotient $f$-ring. (English. English summary)
  Algebra Universalis 33 (1995), no. 3, 355--369.
  06F25 (13J25)
• 1318989
  Martinez, J.(1-FL)
  Complementing lattice-ordered groups: the finite-valued case. (English. English summary)
  Algebra Universalis 33 (1995), no. 2, 243--253.
  06F15 (20F60)
• 1300719
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  Maximum monoreflections. (English. English summary)
  Appl. Categ. Structures 2 (1994), no. 4, 315--329.
  18A40 (18A30)
• 1295154
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  Functorial rings of quotients. II. The ring of hyper-fractions. (English. English summary)
  Forum Math. 6 (1994), no. 5, 597--616.
  18B99 (06F25 13B30)
• 1278799
  Martinez, Jorge(1-FL)
  On commutative rings which are strongly Prüfer.
  Comm. Algebra 22 (1994), no. 9, 3479--3488.
  13F05 (06F25 13J25 54C35)
• 1239640
  Henriksen, Melvin(1-HMUD); Larson, Suzanne(1-LYLM); Martinez, Jorge(1-FL); Woods, R. G.(3-MB)
  Lattice-ordered algebras that are subdirect products of valuation domains. (English. English summary)
  Trans. Amer. Math. Soc. 345 (1994), no. 1, 195--221.
  06F25 (54C40)
• 1247303
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  Functorial rings of quotients. I. (English. English summary)
  Ordered algebraic structures (Gainesville, FL, 1991), 133--157,
  Kluwer Acad. Publ., Dordrecht, 1993.
  18B99 (06F25 13B30)
• 1247294
  Ordered algebraic structures.
  Proceedings of the conference held at the University of Florida, Gainesville, Florida, December 12--14, 1991. Edited by J. Martinez and C. Holland [W. Charles Holland].
  Kluwer Academic Publishers Group, Dordrecht, 1993. xiv+258 pp. ISBN 0-7923-2258-4
  06-06 (06Fxx)
• 1239910
  Hager, Anthony W.(1-WESL); Martinez, Jorge(1-FL)
  Fraction-dense algebras and spaces. (English. English summary)
  Canad. J. Math. 45 (1993), no. 5, 977--996.
  16W80 (06F20 06F25 54G05)
• 1219582
  Martinez, Jorge(1-FL)
  $C(X, Z)$ revisited. (English. English summary)
  Adv. Math. 99 (1993), no. 2, 152--161.
  54C40 (13F99)
• 1201177
  Conrad, Paul(1-KS); Martinez, Jorge(1-KS)
  Signatures and $S$-discrete lattice-ordered groups. (English. English summary)
  Algebra Universalis 29 (1992), no. 4, 521--545.
  06F15
• 1184877
  Hager, A. W.(1-WESL); Martinez, Jorge(1-FL)
  Fraction-dense algebras and spaces. (English. English summary)
  Positive operators and semigroups on Banach lattices (Curaçao, 1990).
  Acta Appl. Math. 27 (1992), no. 1-2, 55--65.
  13B30 (06F15 54C30 54D99)
• 1179272
  Martinez, Jorge(1-FL); Woodward, Scott(1-FL)
  Bezout and Prüfer $f$-rings. (English. English summary)
  Comm. Algebra 20 (1992), no. 10, 2975--2989.
  13F05 (13F30)
• 1152166
  Martinez, Jorge(1-FL)
  Locally conditioned radical classes of lattice-ordered groups.
  Czechoslovak Math. J. 42(117) (1992), no. 1, 25--34.
  06F15
• 1101776
  Conrad, Paul(1-KS); Martinez, Jorge(1-FL)
  Complementing lattice-ordered groups: the projectable case.
  Order 7 (1990), no. 2, 183--203.
  06F15
• 1075880
  Conrad, Paul(1-KS); Martinez, Jorge(1-FL)
  Complemented lattice-ordered groups.
  Indag. Math. (N.S.) 1 (1990), no. 3, 281--297.
  06F15
• 1063126
  Conrad, Paul(1-KS); Martinez, Jorge(1-FL)
  Very large subgroups of a lattice-ordered group.
  Comm. Algebra 18 (1990), no. 7, 2063--2098.
  06F15
• 1037608
  Martinez, Jorge(1-FL)
  The closed subgroup problem for lattice-ordered groups.
  Arch. Math. (Basel) 54 (1990), no. 3, 212--224.
  06F15
• 998733
  Conrad, Paul(1-KS); Martinez, Jorge(1-FL)
  Settling a number of questions about hyper-Archimedean lattice-ordered groups.
  Proc. Amer. Math. Soc. 109 (1990), no. 2, 291--296.
  06F15
• 1094821
  Ordered algebraic structures.
  Proceedings of the Caribbean Mathematics Foundation Conference held in Curaçao, August 8--13, 1988. Edited by Jorge Martinez. Mathematics and its Applications, 55.
  Kluwer Academic Publishers Group, Dordrecht, 1989. xx+278 pp. ISBN 0-7923-0489-6
  06-06
• 1036076
  Martinez, Jorge(1-FL)
  Torsion theory of $l$-groups.
  Lattice-ordered groups, 128--141,
  Math. Appl., 48,
  Kluwer Acad. Publ., Dordrecht, 1989.
  06F15
• 1036075
  Anderson, Marlow(1-COCO); Conrad, Paul(1-KS); Martinez, Jorge(1-FL)
  The lattice of convex $l$-subgroups of a lattice-ordered group.
  Lattice-ordered groups, 105--127,
  Math. Appl., 48,
  Kluwer Acad. Publ., Dordrecht, 1989.
  06F15
• 1006308
  Conrad, Paul F.(1-KS); Martinez, Jorge(1-FL)
  Locally finite conditions on lattice-ordered groups.
  Czechoslovak Math. J. 39(114) (1989), no. 3, 432--444.
  06F15
• 823767
  Martinez, Jorge(1-FL)
  Abstract ideal theory.
  Ordered algebraic structures (Cincinnati, Ohio, 1982), 125--137,
  Lecture Notes in Pure and Appl. Math., 99,
  Dekker, New York, 1985.
  06B10
• 807445
  Martinez, Jorge(1-FL)
  Algebra with weak distributivity.
  Arch. Math. (Basel) 45 (1985), no. 2, 133--143.
  06F99 (06F15 16A12)
• 703733
  Baird, B. B.; Martinez, J.(1-FL)
  The semigroup of partial $l$-isomorphisms of an abelian $l$-group.
  Acta Math. Hungar. 41 (1983), no. 3-4, 201--211.
  06F20 (20M12 20M20)
• 682702
  Martinez, Jorge
  Almost finite-valued $l$-groups.
  Rend. Sem. Mat. Univ. Padova 67 (1982), 75--84.
  06F15
• 658374
  Baird, Bridget B.; Martinez, Jorge
  The automorphism group of a lattice-ordered group.
  Arch. Math. (Basel) 38 (1982), no. 4, 296--310.
  06F15 (20F28 20F60)
• 691622
  Amoros, D.; Deserable, D.; Martinez, J.; Surry, C.
  Éléments finis conformes ou non conformes en élasticité plane ou de révolution. (French. English, Russian summary) [Consistent and inconsistent finite elements in a plane or axially symmetric theory of elasticity]
  Studia Geotech. Mech. 3 (1981), no. 1, 33--44 (1982).
  73K25 (65N30)
• 611076
  Martinez, Jorge
  Prime selectors in lattice-ordered groups.
  Czechoslovak Math. J. 31(106) (1981), no. 2, 206--217.
  06F15
• 601612
  Martinez, Jorge
  Lexicographic centers of a lattice-ordered group.
  Ordered groups (Proc. Conf., Boise State Univ., Boise, Idaho, 1978), pp. 29--42,
  Lecture Notes in Pure and Appl. Math., 62,
  Dekker, New York, 1980.
  06F15
• 561839
  Martinez, Jorge
  The fundamental theorem on torsion classes of lattice-ordered groups.
  Trans. Amer. Math. Soc. 259 (1980), no. 1, 311--317.
  06F15
• 544857
  Martinez, Jorge
  Nilpotent lattice-ordered groups.
  Algebra Universalis 9 (1979), no. 3, 329--338.
  06F15 (20E10)
• 523933
  Holland, W. Charles; Martinez, Jorge
  Accessibility of torsion classes.
  Algebra Universalis 9 (1979), no. 2, 199--206.
  06F15 (20D30 20F60)
• 552652
  Martinez, Jorge
  Is the lattice of torsion classes algebraic?
  Proc. Amer. Math. Soc. 63 (1977), no. 1, 9--14.
  06A60
• 457318
  Martinez, Jorge
  Pairwise splitting lattice-ordered groups.
  Czechoslovak Math. J. 27(102) (1977), no. 4, 545--551.
  06A55
• 414455
  Martinez, J.
  Topological coordinatizations and dualities of Brouwer lattices.
  Acta Math. Acad. Sci. Hungar. 27 (1976), no. 3-4, 225--230.
  06A20
• 389706
  Martinez, Jorge
  Torsion theory for lattice-ordered groups. II. Homogeneous $l$-groups. (English. Loose Russian summary)
  Czechoslovak Math. J. 26(101) (1976), no. 1, 93--100.
  06A55
• 401584
  Martinez, Jorge
  Doubling chains, singular elements and hyper-$Z$ $l$-groups.
  Pacific J. Math. 61 (1975), no. 2, 502--506.
  06A55
• 389705
  Martinez, Jorge
  Torsion theory for lattice-ordered groups.
  Czechoslovak Math. J. 25(100) (1975), 284--299.
  06A55
• 354483
  Martinez, Jorge
  Varieties of lattice-ordered groups.
  Math. Z. 137 (1974), 265--284.
  06A55
• 349524
  Martinez, Jorge
  The hyper-archimedean kernel sequence of a lattice-ordered group.
  Bull. Austral. Math. Soc. 10 (1974), 337--349.
  06A55
• 332614
  Martinez, Jorge
  Archimedean-like classes of lattice-ordered groups.
  Trans. Amer. Math. Soc. 186 (1974), 33--49.
  06A55
• 392720
  Martinez, Jorge
  Structure of Archimedean lattices.
  Proceedings of the University of Houston Lattice Theory Conference (Houston, Tex., 1973), pp. 295--305.
  Dept. Math., Univ. Houston, Houston, Tex., 1973.
  06A23
• 371770
  Martinez, Jorge
  Free products of abelian $l$-groups.
  Czechoslovak Math. J. 23(98) (1973), 349--361.
  06A60
• 349503
  Martinez, J.
  Archimedean lattices.
  Algebra Universalis 3 (1973), 247--260.
  06A20
• 332613
  Martinez, Jorge
  A hom-functor for lattice-ordered groups.
  Pacific J. Math. 48 (1973), 169--183.
  06A55
• 319825
  Martinez, Jorge
  Some pathology involving pseudo $l$-groups as groups of divisibility.
  Proc. Amer. Math. Soc. 40 (1973), 333--340.
  06A55
• 314722
  Martinez, Jorge
  Tensor products of partially ordered groups.
  Pacific J. Math. 41 (1972), 771--789.
  06A55
• 311536
  Martinez, Jorge
  Free products in varieties of lattice-ordered groups.
  Czechoslovak Math. J. 22(97) (1972), 535--553.
  06A55
• 295993
  Martinez, Jorge
  Hereditary properties and maximality conditions with respect to essential extensions of lattice group orders.
  Trans. Amer. Math. Soc. 166 (1972), 339--350.
  06A55
• 292723
  Martinez, Jorge
  Unique factorization in partially ordered sets.
  Proc. Amer. Math. Soc. 33 (1972), 213--220.
  06A10
• 295992
  Martinez, Jorge
  Essential extensions of partial orders on groups.
  Trans. Amer. Math. Soc. 162 (1971), 35--61.
  06A55
• 277444
  Martinez, Jorge
  Approximation by archimedean lattice cones.
  Pacific J. Math. 36 1971 427--437.
  06.30 (46.00)