A system of bi-identities for locally inverse semigroups

Auinger, K.

doi:10.1090/S0002-9939-1995-1291762-0

A system of bi-identities for locally inverse semigroups
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Proc. Amer. Math. Soc. 123 (1995), 979-988 Request permission

Abstract:

A class of regular semigroups closed under taking direct products, regular subsemigroups, and homomorphic images is an existence-variety (or e-variety) of regular semigroups. Each e-variety of locally inverse semigroups can be characterized by a set of bi-identities. These are identities of terms of type $\langle 2,2\rangle$ in two sorts of variables X and $X’$. In this paper we obtain a basis of bi-identities for the e-variety of locally inverse semigroups and for certain sub-e-varieties.

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