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Hybrid bases for varieties of semigroups

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Abstract.

We consider the lower part of the lattice of varieties of semigroups. We present finite bases of hybrid identities for the varieties of normal bands, commutative bands and abelian groups of finite exponent.

The variety A n,0 of abelian groups provides an example of a variety which has no finite base of hyperidentities (cf. [12]) but has a finite base of hybrid identities.

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Authors and Affiliations

  1. Informatic Center of WBD, OUW, ul. Piastowska 15, 45-082, Opole, Poland

    E. Graczynska

  2. Technical University of Opole, ul. Luboszycka 3, 45-036, Opole, Poland

    E. Graczynska

  3. Fachbereich Mathematik, Universität Kaiserslautern, Postfach 3049, 67653, Kaiserslautern, Germany

    D. Schweigert

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  1. E. Graczynska
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  2. D. Schweigert
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Correspondence to E. Graczynska.

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Graczynska, E., Schweigert, D. Hybrid bases for varieties of semigroups. Algebra univers. 50, 129–139 (2003). https://doi.org/10.1007/s00012-003-1826-0

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  • DOI: https://doi.org/10.1007/s00012-003-1826-0

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