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Orders in Strict Regular Semigroups

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Abstract.

 A subsemigroup S of a semigroup Q is an order in Q if for every there exist such that , where a and d are contained in (maximal) subgroups of Q, and and are their inverses in these subgroups. A regular semigroup S is strict if it is a subdirect product of completely (0-)simple semigroups.

We construct all orders and involutions in Auinger’s model of a strict regular semigroup. This is used to find necessary and sufficient conditions on an involution on an order S in a strict regular semigroup Q for extendibility to an involution on Q.

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  1. University of Granada, Spain, , , , , , ES

    Mario Petrich

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  1. Mario Petrich
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(Received 27 April 1999; in revised form 20 October 1999)

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Petrich, M. Orders in Strict Regular Semigroups. Mh Math 129, 329–340 (2000). https://doi.org/10.1007/s006050050079

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  • DOI: https://doi.org/10.1007/s006050050079

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