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Epimorphisms, dominions and H-commutative semigroups

Alam, Noor and Higgins, Peter M and Khan, Noor Mohammad (2019) 'Epimorphisms, dominions and H-commutative semigroups.' Semigroup Forum. ISSN 0037-1912

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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.

Item Type: Article
Uncontrolled Keywords: Semigroup, H-commutative semigroups, Epimorphism, Dominion, Saturated semigroups
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Elements
Date Deposited: 08 Aug 2019 12:03
Last Modified: 21 Aug 2020 01:00
URI: http://repository.essex.ac.uk/id/eprint/25124

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