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Varieties of nilpotent lattice-ordered groups. (English. Russian original) Zbl 0517.06015

Algebra Logic 21, 331-339 (1983); translation from Algebra Logika 21, No. 5, 499-510 (1982).

MSC:

06F15 Ordered groups
06B20 Varieties of lattices
08B15 Lattices of varieties
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References:

[1] A. Yu. Ol’shanskii, ”On the problem of a finite basis of identities in groups” Izv. Akad. Nauk SSSR, Ser. Mat.,34, No. 2, 316–384 (1970).
[2] M. R. Vaughan-Lee, ”Uncountably many varieties of groups” Bull. London Math. Soc.,2, No. 6, 280–286 (1970). · Zbl 0216.08401 · doi:10.1112/blms/2.3.280
[3] V. M. Kopytov and N. Ya. Medvedev, ”On varieties of lattice-ordered groups” Algebra Logika,16, No. 4, 417–423 (1977). · Zbl 0395.17015 · doi:10.1007/BF01670004
[4] M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of Group Theory [in Russian], 2nd ed., Nauka, Moscow (1977). · Zbl 0499.20001
[5] A. I. Kokorin and V. M. Kopytov, Linearly Ordered Groups [in Russian], Moscow (1972). · Zbl 0192.36401
[6] A. M. W. Glass, W. C. Holland, and S. H. McCleary, ”The structure of -group varieties” Algebra Univ.,10, 1–20 (1980). · Zbl 0439.06013 · doi:10.1007/BF02482885
[7] V. M. Kopytov, ”On nilpotent lattice-ordered groups” in: All-Union Symposium on Group Theory, Abstracts of Reports [in Russian], Naukova Dumka, Kiev (1978), p. 32.
[8] V. M. Kopytov, ”On locally nilpotent lattice-ordered groups” Algebra Logika,14, No. 4, 407–413 (1975).
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