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Hybrid bases for varieties of semigroups |
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| Authors: | E.?Graczynska author-information" > author-information__contact u-icon-before" > mailto:egracz@po.opole.pl" title=" egracz@po.opole.pl" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,D.?Schweigert |
| Affiliation: | (1) Informatic Center of WBD, OUW, ul. Piastowska 15, 45-082 Opole, Poland;(2) Technical University of Opole, ul. Luboszycka 3, 45-036 Opole, Poland;(3) Fachbereich Mathematik, Universität Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany |
| Abstract: | We consider the lower part of the lattice of varieties of semigroups. We presentfinite bases of hybrid identities for the varieties of normal bands, commutative bands andabelian groups of finite exponent.The variety An,0 of abelian groups provides an example of a variety which has no finitebase of hyperidentities (cf. [12]) but has a finite base of hybrid identities. |
| Keywords: | 03C05 08A99. |
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