Regular proper *-semigroup embeddings and involutionstitle

Adel A. Abdelkarim

Abstract


It is proved that if (S,∗) is a proper *-semigroup and if D is 0-characteristic integral domain then (D[S],∗) is nil-semisimple provided that S is finite or i ∈ D.Let (S,∗) be a finite proper *-semigroup and F be a finite field of characteristic p such that (F[S],∗) is a proper *-ring. Then F[S] is a direct product of fields and 2×2 matrix rings over fields. Furthermore, p≠2,p≠1 mod 4.

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Published: 2015-05-27

How to Cite this Article:

Adel A. Abdelkarim, Regular proper *-semigroup embeddings and involutionstitle, J. Semigroup Theory Appl., 2015 (2015), Article ID 2

Copyright © 2015 Adel A. Abdelkarim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Journal of Semigroup Theory and Applications

ISSN 2051-2937

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