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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).

06F15 Ordered groups
06F25 Ordered rings, algebras, modules
08B15 Lattices of varieties
17B99 Lie algebras and Lie superalgebras
Full Text: DOI EuDML
[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 · doi:10.1007/BF01350085
[7] J. Martinez, ”Varieties of lattice-ordered groups,” Math. Z.,137, No. 4, 265–284 (1974). · Zbl 0281.20023 · doi:10.1007/BF01214370
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