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The finiteness of a base of identities for five-element monoids. (English) Zbl 0439.20036


MSC:

20M07 Varieties and pseudovarieties of semigroups
20M10 General structure theory for semigroups
08B99 Varieties
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References:

[1] Birjukov, A. L., Varietiesofidempotentsemigroups, Algebra and Logic, 9, 255-273 (1970) · Zbl 0223.20079
[2] Bolbot, A.D.,Thefinitenessofabaseofidentitiesforfour-elementsemigroups, Trans. of XI All Union Algebraic Colloqium, Kishinjov, 1971, 185 (in Russian).
[3] Bolbot, A. D., Thefinitenessofabaseofidentitiesforfour-elementsemigroups, 1738-78 (1978), Moscow: VINITI, Moscow
[4] Edmunds, C. C., Oncertainfinitelybasedvarietiesofsemigroups, Semigroup Forum, 15, 21-39 (1977) · Zbl 0375.20057 · doi:10.1007/BF02195732
[5] Forsythe, G. E., SWACcomputes126distinctsemigroupsoforder4, Proc. Amer. Math. Soc., 6, 443-447 (1955) · Zbl 0064.02002 · doi:10.1090/S0002-9939-1955-0069814-7
[6] Perkins, P., Basesforequationaltheoriesofsemigroups, J. Algebra, 11, 298-324 (1969) · Zbl 0186.03401 · doi:10.1016/0021-8693(69)90058-1
[7] Petrich, M.,Introductiontosemigroups, Merrill Publishing Company, 1973. · Zbl 0321.20037
[8] Sverdlovskayatetrad (unsolved problems of the theory of semigroups), Problem 63, Sverdlovsk, 1969 (in Russian). · Zbl 0364.20064
[9] Tishchenko, A.V.,Thefinitenessofabaseofidentitiesforfive-elementmonoids. Trans. of II All Union Symp. on the Theory of Semigroups, Sverdlovsk, 1978, 93 (in Russian).
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