Document Zbl 0497.08004

Varieties with a finite number of subquasivarieties. (English) Zbl 0497.08004

Sib. Math. J. 22, 934-949 (1982).

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MSC:

08B15	Lattices of varieties
08C15	Quasivarieties
20M07	Varieties and pseudovarieties of semigroups

Keywords:

lattice of subquasivarieties; locally finite varieties of semigroups; generating semigroups; finite semigroups; residually finite semigroup

Citations:

Zbl 0186.037; Zbl 0307.20017; Zbl 0422.16015; Zbl 0491.08011

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Full Text: DOI

References:

[1]	V. A. Gorbunov, ?Lattices of quasivarieties,? Algebra Logika,15, No. 4, 436-457 (1976). · Zbl 0359.06014
[2]	A. Yu. Ol’shanskii, ?Varieties of finitely approximable groups,? Izv. Akad. Nauk SSSR, Ser. Mat.,33, No. 4, 915-927 (1969). · Zbl 0186.03703
[3]	A. Yu. Ol’shanskii, ?Conditional identities in finite groups,? Sib. Mat. Zh.,15, No. 6, 1409-1413 (1974).
[4]	I. V. L’vov, ?Finitely approximable varieties of rings,? Algebra Logika,17, No. 3, 488 (1978).
[5]	V. P. Belkin, ?Quasiidentities of finite rings and lattices,? Algebra Logika,12, No. 3, 247-259 (1978). · Zbl 0422.16015
[6]	A. I. Budkin and V. A. Gorbunov, ?Implicative classes of algebras,? Algebra Logika,12, No. 3, 249-268 (1973). · Zbl 0301.02065 · doi:10.1007/BF02218573
[7]	A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, Vols. I. and II, Am. Math. Soc., Providence (1961, 1967). · Zbl 0111.03403
[8]	M. I. Kargapolov and Yu. I. Merzlyakov, Foundations of Group Theory [in Russian], Nauka, Moscow (1972). · Zbl 0499.20001
[9]	H. Neumann, Varieties of Groups, Springer-Verlag, New York (1967). · Zbl 0149.26704
[10]	É. A. Golubov and M. V. Sapir, ?Varieties of finitely approximable semigroups,? Dokl. Akad. Nauk SSSR,247, No. 5, 1037-1041 (1979). · Zbl 0423.20055
[11]	M. Petrich, Introduction to Semigroups, Charles E. Merrill, Columbus, Ohio (1973). · Zbl 0321.20037
[12]	B. Huppert, Endliche Gruppen, Vol. I, Springer-Verlag, Berlin-Heidelberg-New York (1967).
[13]	M. Hall, Jr., The Theory of Groups, Macmillan, New York (1959).

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