On Identity Bases of Epigroup Varieties |
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| Authors: | K Auinger M B Szendrei |
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| Institution: | Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090, Wien, Austriaf1;Bolyai Institute, József Attila University, Aradi vértanúk tere 1, H-6720, Szeged, Hungary, f2 |
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| Abstract: | Let C
n and C
n be the varieties of all completely regular and of all completely simple semigroups, respectively, whose idempotent generated subsemigroups are periodic with period n. We use Ol'shanski
's theory of geometric group presentations to show that for large odd n these varieties (and similarly defined varieties of epigroups) do not have finitely axiomatizable equational theories. |
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