Medvedev, N. Ya. The lattices of varieties of lattice-ordered groups and Lie algebras. (English. Russian original) Zbl 0395.06008 Algebra Logic 16, 27-31 (1978); translation from Algebra Logika 16, 40-45 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 13 Documents MSC: 06F15 Ordered groups 06F25 Ordered rings, algebras, modules 08B15 Lattices of varieties 17B99 Lie algebras and Lie superalgebras Keywords:Lattice-Ordered Groups; Lattices of Varieties; Linearly Ordered Field; Solvable O-Approximable 1-Groups; Lie Algebras Citations:Zbl 0274.20034 PDFBibTeX XMLCite \textit{N. Ya. Medvedev}, Algebra Logic 16, 27--31 (1977; Zbl 0395.06008); translation from Algebra Logika 16, 40--45 (1977) Full Text: DOI EuDML References: [1] A. A. Vinogradov, ”Met-Abelian partially ordered groups,” Uch. Zap. Ivanovsk. Ped. Inst.,34, 20–26 (1963). [2] M. I. Kargapolov and Yu. I Merzlyakov, Foundations of Group Theory [in Russian], Nauka (1972). · Zbl 0499.20001 [3] A. I. Kokorin and V. M. Kopytov, Linearly Ordered Groups [in Russian], Nauka (1972). · Zbl 0192.36401 [4] V. M. Kopytov, ”Ordering of Lie algebras,” Algebra Logika,11, No. 3, 295–325 (1972). · Zbl 0253.17006 [5] A. I. Mal’tsev, Algebraic Systems [in Russian], Nauka (1970). [6] S. J. Bernau, ”Free abelian lattice groups,” Math. Ann.,180, 48–59 (1969). · Zbl 0165.04303 [7] J. Martinez, ”Varieties of lattice-ordered groups,” Math. Z.,137, No. 4, 265–284 (1974). · Zbl 0281.20023 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.