Literature Cited
M. V. Sapir, “Varieties with a finite number of subquasivarieties,” Sib. Mat. Zh.,22, No. 6, 168–187 (1981).
A. N. Fedorov, “Subquasivarieties of nilpotent minimal non-Abelian varieties of groups,” Sib. Mat. Zh.,21, No. 6, 117–131 (1980).
A. Yu. Ol'shanskii, “Conditional identities in finite groups,” Sib. Mat. Zh.,15, No. 6, 1409–1413 (1974).
M. V. Sapir, “Quasivarieties of semigroups,” XV All-Union Algebraic Conference, Lecture Theses 2, Krasnoyarsk (1979), pp. 132–133.
É. A. Golubov and M. V. Sapir, “Varieties of finitely approximable semigroups,” Dokl. Akad. Nauk SSSR,247, No. 5, 1037–1041 (1979).
J. M. Brady, “On solvable just-non-Cross varieties of groups,” Bull. Austr. Math. Soc.,3, No. 3, 313–323 (1970).
A. H. Clifford and G. B. Preston, Algebraic Theory of Semigroups, Amer. Math. Soc. (1967).
M. Petrich, Introduction to Semigroups, Merrill Books, Columbus (Ohio) (1973).
M. I. Kargapolov and Yu. I. Merzlyakov, Foundations of Groups Theory [in Russian], Nauka, Moscow (1972).
I. V. L'vov, “Varieties of associative rings. I,” Algebra Logika,12, No. 3, 269–297, (1973).
A. P. Zamyatin, “Varieties of associative rings whose elementary theory is solvable,” Dokl. Akad. Nauk SSSR,17, 996–999 (1976).
M. Petrich, “All subvarieties of a certain variety of semigroups,” Semigroup Forum,4, No. 1, 104–152 (1974).
É. A. Golubov, “Finite separability in semigroups,” Sib. Mat. Zh.,11, No. 6, 1247–1263 (1970).
T. Evans, “The lattice of semigroup varieties,” Semigroup Forum,2, No. 1, 1–43 (1971).
Yu. L. Ershov, “On elementary theories of groups,” Dokl. Akad. Nauk SSSR,203, No. 6, 1240–1243 (1972).
A. Yu. Ol'shanskii, “Varities of finitely approximable groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,33, No. 6, 915–927 (1969).
A. Yu. Ol'shanskii, “Solvable almost Cross varieties of groups,” Mat. Sb.,85, No. 1, 115–131 (1971).
M. V. Sapir, “The lattice of quasivarieties of idempotent semigroups,” in: Studies in Contemporary Algebra [in Russian], Sverdlovsk (1979), pp. 158–169.
A. A. Vinogradov, “Quasivarieties of Abelian groups,” Algebra Logika,4, No. 6, 15–19 (1965).
M. V. Sapir, “On quasivarieties generated by finite semigroups,” Semigroup Forum,20, No. 1, 73–88 (1980).
Sverdlovsk Notebook (unsolved problems in the theory of semigroups), 2, Serdlovsk (1979(.
H. Neumann, Varieties of Groups [Russian translation], Mir, Moscow (1969).
L. A. Shemetkov, Formations of Finite Groups [in Russian], Nauka, Moscow (1978).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 3, pp. 148–163, May–June, 1984.
Rights and permissions
About this article
Cite this article
Sapir, M.V. Varieties with a countable number of subquasivarieties. Sib Math J 25, 461–473 (1984). https://doi.org/10.1007/BF00968987
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00968987