Dzik, Wojciech; Radeleczki, Sándor Direct product of \(\ell\)-algebras and unification: an application to residuated lattices. (English) Zbl 1398.08007 J. Mult.-Val. Log. Soft Comput. 28, No. 2-3, 189-215 (2017). MSC: 08B05 08A05 06B20 03G25 PDFBibTeX XMLCite \textit{W. Dzik} and \textit{S. Radeleczki}, J. Mult.-Val. Log. Soft Comput. 28, No. 2--3, 189--215 (2017; Zbl 1398.08007) Full Text: Link
Bahls, P.; Cole, J.; Galatos, N.; Jipsen, P.; Tsinakis, C. Cancellative residuated lattices. (English) Zbl 1092.06012 Algebra Univers. 50, No. 1, 83-106 (2003). Reviewer: Jan Kühr (Olomouc) MSC: 06F05 06D35 06F15 08B15 PDFBibTeX XMLCite \textit{P. Bahls} et al., Algebra Univers. 50, No. 1, 83--106 (2003; Zbl 1092.06012) Full Text: DOI
Gurchenkov, S. A. On amalgamation in \(\ell\)-varieties. (English. Russian original) Zbl 0897.06018 Algebra Logic 35, No. 1, 16-20 (1996); translation from Algebra Logika 35, No. 1, 31-40 (1996). Reviewer: Vladimir Dragović (Beograd) MSC: 06F15 06B20 PDFBibTeX XMLCite \textit{S. A. Gurchenkov}, Algebra Logika 35, No. 1, 31--40 (1996; Zbl 0897.06018); translation from Algebra Logika 35, No. 1, 31--40 (1996) Full Text: EuDML
Darnel, Michael R. Cyclic extensions of the Medvedev ordered groups. (English) Zbl 0790.06018 Czech. Math. J. 43, No. 2, 193-204 (1993). Reviewer: N.Ya.Medvedev (Barnaul) MSC: 06F15 PDFBibTeX XMLCite \textit{M. R. Darnel}, Czech. Math. J. 43, No. 2, 193--204 (1993; Zbl 0790.06018) Full Text: EuDML
Jakubík, Ján Complete retract mappings of a complete lattice ordered group. (English) Zbl 0799.06028 Czech. Math. J. 43, No. 2, 309-318 (1993). Reviewer: S.P.Hurd (Charleston) MSC: 06F15 06F20 PDFBibTeX XMLCite \textit{J. Jakubík}, Czech. Math. J. 43, No. 2, 309--318 (1993; Zbl 0799.06028) Full Text: EuDML
Darnel, Michael R. Varieties minimal over representable varieties of lattice-ordered groups. (English) Zbl 0790.06019 Commun. Algebra 21, No. 8, 2637-2665 (1993). Reviewer: N.Ya.Medvedev (Barnaul) MSC: 06F15 08B99 PDFBibTeX XMLCite \textit{M. R. Darnel}, Commun. Algebra 21, No. 8, 2637--2665 (1993; Zbl 0790.06019) Full Text: DOI
Medvedev, N. Ya. Independent axiomatization of varieties of lattice ordered groups. (English) Zbl 0766.06016 Czech. Math. J. 42, No. 1, 53-57 (1992). Reviewer: J.Jakubík (Košice) MSC: 06F15 08B99 PDFBibTeX XMLCite \textit{N. Ya. Medvedev}, Czech. Math. J. 42, No. 1, 53--57 (1992; Zbl 0766.06016) Full Text: EuDML
Isaeva, O. V.; Medvedev, N. Ya. Coverings in the lattice of quasivarieties of \(l\)-groups. (Russian) Zbl 0772.06013 Sib. Mat. Zh. 33, No. 2, 102-107 (1992). Reviewer: K.Hałkowska (Opole) MSC: 06F15 08C15 08B15 06F20 PDFBibTeX XMLCite \textit{O. V. Isaeva} and \textit{N. Ya. Medvedev}, Sib. Mat. Zh. 33, No. 2, 102--107 (1992; Zbl 0772.06013)
Isaeva, O. V.; Medvedev, N. Ya. Coverings in the lattice of quasivarieties of \(l\)-groups. (English. Russian original) Zbl 0787.06015 Sib. Math. J. 33, No. 2, 266-271 (1992); translation from Sib. Mat. Zh. 33, No. 2, 102-107 (1992). MSC: 06F15 08C15 08B15 06F20 PDFBibTeX XMLCite \textit{O. V. Isaeva} and \textit{N. Ya. Medvedev}, Sib. Math. J. 33, No. 2, 102--107 (1992; Zbl 0787.06015); translation from Sib. Mat. Zh. 33, No. 2, 102--107 (1992) Full Text: DOI EuDML
Gurchenkov, S. A. On three questions in the theory of l-varieties. (Russian) Zbl 0755.06010 Czech. Math. J. 41(116), No. 3, 405-410 (1991). Reviewer: J.Rachůnek (Olomouc) MSC: 06F15 PDFBibTeX XMLCite \textit{S. A. Gurchenkov}, Czech. Math. J. 41(116), No. 3, 405--410 (1991; Zbl 0755.06010) Full Text: EuDML
Varaksin, S. V. Varieties generated by simple \(l\)-groups. (English. Russian original) Zbl 0746.06010 Sib. Math. J. 31, No. 5, 842-844 (1990); translation from Sib. Mat. Zh. 31, No. 5(183), 167-170 (1990). Reviewer: N.Ya.Medvedev (Barnaul) MSC: 06F15 20E32 20E10 PDFBibTeX XMLCite \textit{S. V. Varaksin}, Sib. Math. J. 31, No. 5, 842--844 (1990; Zbl 0746.06010); translation from Sib. Mat. Zh. 31, No. 5(183), 167--170 (1990) Full Text: DOI
Gurchenkov, S. A. Non-Brouwerianness and continuality of the lattice of nilpotent l- varieties. (English. Russian original) Zbl 0717.08004 Sov. Math. 34, No. 7, 19-24 (1990); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 7(338), 17-22 (1990). Reviewer: L.M.Martynov MSC: 08B15 06F15 PDFBibTeX XMLCite \textit{S. A. Gurchenkov}, Sov. Math. 34, No. 7, 19--24 (1990; Zbl 0717.08004); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 7(338), 17--22 (1990)
Gurchenkov, S. A. The lattice of varieties of rigid lattice-ordered groups not possessing the covering property. (Russian) Zbl 0702.06009 Mat. Zametki 47, No. 4, 35-40 (1990). Reviewer: N.Medvedev MSC: 06F15 08B15 PDFBibTeX XMLCite \textit{S. A. Gurchenkov}, Mat. Zametki 47, No. 4, 35--40 (1990; Zbl 0702.06009)
Powell, Wayne B. Universal aspects of the theory of lattice ordered groups. (English) Zbl 0708.06013 Ordered algebraic structures, Proc. Caribb. Math. Found. Conf., Curaçao/Neth. Antilles 1988, Math. Appl., D. Reidel Publ. Co. 55, 11-49 (1989). Reviewer: V.N.Salij MSC: 06F15 08B15 06-02 PDFBibTeX XML
Madvedev, N. Ya. Infinite distributivity in the lattice of varieties of \(\ell\)-groups. (English. Russian original) Zbl 0691.06006 Sib. Math. J. 30, No. 2, 342-345 (1989); translation from Sib. Mat. Zh. 30, No. 2(174), 216-220 (1989). Reviewer: B.M.Schein MSC: 06F15 08B15 PDFBibTeX XMLCite \textit{N. Ya. Madvedev}, Sib. Math. J. 30, No. 2, 342--345 (1989; Zbl 0691.06006); translation from Sib. Mat. Zh. 30, No. 2(174), 216--220 (1989) Full Text: DOI
Powell, Wayne B.; Tsinakis, Constantine Covers of the variety of Abelian l-groups. (English) Zbl 0689.06015 Commun. Algebra 17, No. 10, 2461-2468 (1989). Reviewer: V.Novák MSC: 06F20 08B15 PDFBibTeX XMLCite \textit{W. B. Powell} and \textit{C. Tsinakis}, Commun. Algebra 17, No. 10, 2461--2468 (1989; Zbl 0689.06015) Full Text: DOI
Glass, A. M. W. (ed.); Holland, W. Charles (ed.) [Holland, W. C.; Weispfenning, Volker; Mott, J. L.; Anderson, M.; Conrad, P.; Martinez, J.; Ball, R. N.; Hager, A. W.; McCleary, S. H.; Reilly, N. R.; Powell, W. B.; Tsinakis, C.; Glass, A. M. W.] Lattice-ordered groups. Advances and techniques. (English) Zbl 0705.06001 Mathematics and Its Applications, 48. Dordrecht etc: Kluwer Academic Publishers. xix, 380 p. Dfl 180.00; £59.00; $ 98.00 (1989). Reviewer: M.Droste MSC: 06-02 06F15 06F20 06-06 06-01 03C60 PDFBibTeX XMLCite \textit{A. M. W. Glass} (ed.) and \textit{W. C. Holland} (ed.), Lattice-ordered groups. Advances and techniques. Dordrecht etc: Kluwer Academic Publishers (1989; Zbl 0705.06001)
Gurchenkov, S. A. On the theory of varieties of lattice ordered groups. (English. Russian original) Zbl 0679.20022 Algebra Logic 27, No. 3, 153-167 (1988); translation from Algebra Logika 27, No. 3, 249-273 (1988). Reviewer: N.Medvedev MSC: 20E10 20F60 06F15 06B20 20F18 08B15 PDFBibTeX XMLCite \textit{S. A. Gurchenkov}, Algebra Logic 27, No. 3, 153--167 (1988; Zbl 0679.20022); translation from Algebra Logika 27, No. 3, 249--273 (1988) Full Text: DOI
Anderson, Marlow; Feil, Todd Lattice-ordered groups. An introduction. (English) Zbl 0636.06008 Reidel Texts in the Mathematical Sciences. Dordrecht (Netherlands) etc.: D. Reidel Publishing Company. vii, 190 p. $ 44.00; £29.50; Dfl. 98.00 (1988). Reviewer: J.Jakubik MSC: 06F15 06-01 20-01 20F60 PDFBibTeX XMLCite \textit{M. Anderson} and \textit{T. Feil}, Lattice-ordered groups. An introduction. Dordrecht (Netherlands) etc.: D. Reidel Publishing Company (1988; Zbl 0636.06008)
Holland, W. Charles; Reilly, Norman R. Metabelian varieties of \(\ell\)-groups which contain no non-abelian o- groups. (English) Zbl 0648.06009 Algebra Univers. 24, No. 3, 204-223 (1987). Reviewer: H.Yutani MSC: 06F15 08B15 20E10 20F60 06F20 PDFBibTeX XMLCite \textit{W. C. Holland} and \textit{N. R. Reilly}, Algebra Univers. 24, No. 3, 204--223 (1987; Zbl 0648.06009) Full Text: DOI
Kopytov, V. M.; Medvedev, N. Ya. The structure of varieties of lattice-ordered groups. (English) Zbl 0623.06007 Algebra and order, Proc. 1st Int. Symp., Luminy-Marseilles/France 1984, Res. Expo. Math. 14, 35-46 (1986). Reviewer: J.Fronkova MSC: 06F15 20F60 20E10 08B15 06B20 PDFBibTeX XML
Reilly, Norman R. Varieties of lattice ordered groups that contain no non-Abelian o-groups are solvable. (English) Zbl 0616.06016 Order 3, 287-297 (1986). Reviewer: S.P.Hurd MSC: 06F15 08B15 20E10 PDFBibTeX XMLCite \textit{N. R. Reilly}, Order 3, 287--297 (1986; Zbl 0616.06016) Full Text: DOI
Rao, B. V. Subba Autometrization of lattice ordered semigroups. (English) Zbl 0609.06010 Algebra and order, Proc. 1st Int. Symp., Luminy-Marseilles/France 1984, Res. Expo. Math. 14, 349-355 (1986). Reviewer: M.Deaconescu MSC: 06F05 06B20 06F20 PDFBibTeX XML
Holland, W. Charles; Mekler, Alan H.; Reilly, Norman R. Varieties of lattice-ordered groups in which prime powers commute. (English) Zbl 0598.06008 Algebra Univers. 23, 196-214 (1986). MSC: 06F15 08B15 20E10 06B20 20F60 PDFBibTeX XMLCite \textit{W. C. Holland} et al., Algebra Univers. 23, 196--214 (1986; Zbl 0598.06008) Full Text: DOI
Kopytov, V. M.; Medvedev, N. Ya. Varieties of lattice ordered groups. (English. Russian original) Zbl 0598.06007 Russ. Math. Surv. 40, No. 6, 97-110 (1986); translation from Usp. Mat. Nauk 40, No. 6(246), 117-128 (1985). Reviewer: J.Jakubík MSC: 06F15 20F60 06B20 06F20 PDFBibTeX XMLCite \textit{V. M. Kopytov} and \textit{N. Ya. Medvedev}, Russ. Math. Surv. 40, No. 6, 97--110 (1986; Zbl 0598.06007); translation from Usp. Mat. Nauk 40, No. 6(246), 117--128 (1985) Full Text: DOI
Medvedev, N. Ya. On quasivarieties of \(\ell\)-groups and groups. (Russian) Zbl 0584.06009 Sib. Mat. Zh. 26, No. 5(153), 111-117 (1985). Reviewer: J.Jakubík MSC: 06F15 08B15 20E10 08C15 20F16 20F60 PDFBibTeX XMLCite \textit{N. Ya. Medvedev}, Sib. Mat. Zh. 26, No. 5(153), 111--117 (1985; Zbl 0584.06009) Full Text: EuDML
Gurchenkov, S. A. Varieties of \(\ell\)-groups with infinite axiomatic rank. (English. Russian original) Zbl 0576.06018 Sib. Math. J. 26, 50-54 (1985); translation from Sib. Mat. Zh. 26, No. 1(149), 66-70 (1985). Reviewer: B.Smarda MSC: 06F15 08B15 17B30 06B20 PDFBibTeX XMLCite \textit{S. A. Gurchenkov}, Sib. Math. J. 26, 50--54 (1985; Zbl 0576.06018); translation from Sib. Mat. Zh. 26, No. 1(149), 66--70 (1985) Full Text: DOI
Huss, M.; Reilly, N. R. On reversing the order of a lattice ordered group. (English) Zbl 0576.06016 Ordered algebraic structures, Proc. AMS Meet., Cincinatti/Ohio 1982, Lect. Notes Pure Appl. Math. 99, 107-110 (1985). Reviewer: E.T.Schmidt MSC: 06F15 06B20 08B15 PDFBibTeX XML
Kopytov, V. M. Non-Abelian varieties of lattice-ordered groups in which every solvable \(\ell\)-group is Abelian. (Russian) Zbl 0574.06012 Mat. Sb., N. Ser. 126(168), No. 2, 247-266 (1985). Reviewer: F.Šik MSC: 06F15 08B15 06B20 20F60 20E10 PDFBibTeX XMLCite \textit{V. M. Kopytov}, Mat. Sb., Nov. Ser. 126(168), No. 2, 247--266 (1985; Zbl 0574.06012) Full Text: EuDML
Powell, Wayne B.; Tsinakis, Constantine Meet-irreducible varieties of lattice-ordered groups. (English) Zbl 0572.06013 Algebra Univers. 20, 262-263 (1985). Reviewer: R.A.Alo MSC: 06F15 20F60 20E10 06B20 PDFBibTeX XMLCite \textit{W. B. Powell} and \textit{C. Tsinakis}, Algebra Univers. 20, 262--263 (1985; Zbl 0572.06013) Full Text: DOI
Medvedev, N. Ya. Free products of \(\ell\)-groups. (English. Russian original) Zbl 0577.06014 Algebra Logic 23, 336-346 (1984); translation from Algebra Logika 23, No. 5, 493-511 (1984). Reviewer: F.Šik MSC: 06F15 20E06 20F18 20F60 20E10 06B20 08B15 08C15 PDFBibTeX XMLCite \textit{N. Ya. Medvedev}, Algebra Logic 23, 336--346 (1984; Zbl 0577.06014); translation from Algebra Logika 23, No. 5, 493--511 (1984) Full Text: DOI
Jambu, Michel; Terao, Hiroaki Free arrangements of hyperplanes and supersolvable lattices. (English) Zbl 0575.05016 Adv. Math. 52, 248-258 (1984). Reviewer: Th.Höfer MSC: 05B30 32Sxx 51F15 05B35 52A37 14J99 32S05 PDFBibTeX XMLCite \textit{M. Jambu} and \textit{H. Terao}, Adv. Math. 52, 248--258 (1984; Zbl 0575.05016) Full Text: DOI
Kopytov, V. M. Lattice-ordered groups. (Решеточно упорядоченные группы.) (Russian) Zbl 0567.06011 Sovremennaya Algebra. Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko- Matematicheskoĭ Literatury. 320 p. R. 3.90 (1984). Reviewer: J.Jakubík MSC: 06F15 06-02 06F20 06F25 PDFBibTeX XML
Powell, Wayne B.; Tsinakis, Constantine Free products of lattice ordered groups. (English) Zbl 0545.06007 Algebra Univers. 18, 178-198 (1984). Reviewer: K.Keimel MSC: 06F15 06B20 06B25 PDFBibTeX XMLCite \textit{W. B. Powell} and \textit{C. Tsinakis}, Algebra Univers. 18, 178--198 (1984; Zbl 0545.06007) Full Text: DOI
Reilly, Norman R. Nilpotent, weakly Abelian and Hamiltonian lattice ordered groups. (English) Zbl 0553.06020 Czech. Math. J. 33(108), 348-353 (1983). Reviewer: P.F.Conrad MSC: 06F15 20F60 20E10 PDFBibTeX XMLCite \textit{N. R. Reilly}, Czech. Math. J. 33(108), 348--353 (1983; Zbl 0553.06020) Full Text: EuDML
Repnitskij, V. B. On varieties of \(\ell\)-semigroups. (English. Russian original) Zbl 0566.06008 Sov. Math. 26, No. 11, 67-73 (1982); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1982, No. 11(246), 54-58 (1982). MSC: 06F05 06B20 08B15 PDFBibTeX XMLCite \textit{V. B. Repnitskij}, Sov. Math. 26, No. 11, 67--73 (1982; Zbl 0566.06008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1982, No. 11(246), 54--58 (1982)