Martinez, Jorge
97
papers
- 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)
Last update made
Sat Mar 1 14:02:00 EST 2008