Abstract

ON THE VARIETY OF UNARY SEMIGROUPS WITH ASSOCIATE INVERSE SUBSEMIGROUP

C. Udeogu1 and U. E Obasi 2

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In this paper, two examples which naturally rise the question of whether the whole class of unary semigroups with an associate inverse subsemigroup is a variety of unary semigroups were presented. Due to the importance of this result to achieving s** = s*, a veritable tool leading to the conclusion was achieved. Keywords: Unary Semigroups, Idempotent, Associate Inverse Semigroup MSC Subject Classification: 08A60, 6F05

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