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Hyperidentities and hypervarieties. (English) Zbl 0491.08009


MSC:

08B05 Equational logic, Mal’tsev conditions
16Rxx Rings with polynomial identity
20M05 Free semigroups, generators and relations, word problems
20E10 Quasivarieties and varieties of groups

Citations:

Zbl 0387.08004
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References:

[1] Aczél, J. (1971)Proof of a theorem on distributive type hyperidentities. Algebra Universalis1, 1–6. · Zbl 0219.08008
[2] Baker, K. (1969)Equational classes of modular lattices. Pacific J. Math.28, 9–15. · Zbl 0174.29802
[3] Belousov, V. D. (1965)Systems of quasigroups with generalized identities. Uspekhi Mat. Nauk20 (121), 75–146. English Translation: Russian Math. Surveys20, 75–143. · Zbl 0135.03503
[4] Bergman, G. M. (1981)Hyperidentities of groups and semigroups. Aequationes Math.23, 50–65. · Zbl 0485.08005
[5] Birkhoff, G. (1935)On the structure of abstract algebras. Proc. Cambridge Philos. Soc.31, 433–454. · JFM 61.1026.07
[6] Cohn, P. M. (1965)Universal Algebra, Harper and Row, New York.
[7] Evans, T. (1962)Endomorphisms of abstract algebras. Proc. Roy Soc. Edinburgh Sect. A66, 53–64. · Zbl 0135.02503
[8] (1967)Products of points – some simple algebras and their identities. Amer. Math. Monthly74, 362–372. · Zbl 0207.32901
[9] Fajtlowicz, S. (1969)Birkhoff’s theorem in the category of non-indexed algebras. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys.17, 273–275. · Zbl 0179.03602
[10] Grätzer, G. (1968)Universal Algebra. Van Nostrand, Princeton.
[11] (1970)Composition of functions. Queen’s Papers in Pure and Applied Math, vol. 25.
[12] (1979)Universal Algebra. Springer-Verlag. · Zbl 0412.08001
[13] Higgins, P. J. (1963)Algebras with a scheme of operators. Math. Nachr.27, 115–132. · Zbl 0117.25903
[14] Lausch, H. andNöbauer, W. (1973)Algebra of Polynomials. North-Holland, Amsterdam. · Zbl 0283.12101
[15] McKenzie, R. (1970)Equational bases for lattice theories. Math. Scand.27, 24–38. · Zbl 0307.08001
[16] Neumann, W. D. (1978)Mal’cev conditions, spectra and Kronecker product. J. Austral. Math. Soc. (A)25, 103–117. · Zbl 0387.08004
[17] Pigozzi, D. (1980)Universal equational theories and varieties of algebras. Ann. Mat. Logic17 (1979), 117–150. · Zbl 0436.03021
[18] Quackenbush, R. W. (1979)Primality, etc. – Appendix to Grätzer (1979).
[19] Taylor, W. (1973)Characterizing Mal’cev conditions. Algebra Universalis3, 351–397. · Zbl 0304.08003
[20] (1975)The fine spectrum of a variety, Algebra Universalis5, 263–303. · Zbl 0336.08004
[21] Taylor, W. (1979)Hyperidentities and hypervarieties. Abstract 79T-A34, Notices Amer. Math. Soc.26, A-240.
[22] (1980)Equational logic (survey). Houston J. Math.,5 (1979), 1–83.
[23] (1981)Mal’tsev conditions and spectra. J. Austral. Math. Soc. (A)29, 143–152. · Zbl 0439.08005
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