Abstract
An eventually regular semigroup is a semigroup in which some power of any element is regular. The minimum group congruence on an eventually regular semigroup is investigated by means of weak inverse. Furthermore, some properties of the minimum group congruence on an eventually regular semigroup are characterized.
Highlights
Throughout this paper, we follow the notation and conventions of Howie 1
The minimum group congruence on an eventually regular semigroup is investigated by means of weak inverse
From the definition we conclude that eventually regular semigroups generalize both regular and finite semigroups
Summary
Throughout this paper, we follow the notation and conventions of Howie 1. The minimum group congruence on an eventually regular semigroup is investigated by means of weak inverse. Some properties of the minimum group congruence on an eventually regular semigroup are characterized. The author explores the minimum group congruences on eventually regular semigroups by means of weak inverses.
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