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Homomorphisms and congruences on regular semigroups with associate inverse subsemigroups |
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| Authors: | B. Billhardt E. Giraldes P. Marques-Smith P. Mendes Martins |
| Affiliation: | 1. FB 10 Mathematik und Naturwissenschaften, Universit?t Kassel, D-34127, Kassel, Germany 2. U.T.A.D., CM-UTAD, 5000, Vila Real, Portugal 3. Centro de Matemática, Universidade do Minho, 4710-057, Braga, Portugal |
| Abstract: | An associate inverse subsemigroup of a regular semigroup S is a subsemigroup T of S containing a least associate x* of each x ∈ S, in relation to the natural partial order ≤. In [1] the authors describe the structure of regular semigroups with an associate inverse subsemigroup, satisfying two natural conditions. In this paper we describe all *-homomorphisms and all *-congruences on such semigroups. |
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