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arXiv · 1908.01813

Epimorphisms, dominions and H-commutative semigroups

Peter M. Higgins·Noor Alam·Noor Mohammad Khan
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Abstract

In the present paper, a series of results and examples that explore the structural features of H-commutative semigroups are provided. We also generalise a result of Isbell from commutative semigroups to H-commutative semigroups by showing that the dominion of an H-commutative semigroup is H-commutative. We then use this to generalise Howie and Isbell's result that any H-commutative semigroup satisfying the minimum condition on principal ideals is saturated.

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Peter M. Higgins, Noor Alam, Noor Mohammad Khan. 2019-08-05. Epimorphisms, dominions and H-commutative semigroups. https://arxiv.org/abs/1908.01813

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