On Some Classes of Regular Semigroups
DOI:
https://doi.org/10.62054/ijdm/0103.09Trefwoorden:
Generalized inverse semigroups, Idempotent, Locally inverse semigroups, Orthodox Semigroup, Regular semigroupsSamenvatting
In this paper we study and analyze the relationships between some special classes of regular semigroups, namely: Generalized inverse semigroups, Orthodox semigroups and locally inverse semigroups based on their idempotent properties. We then use an example to prove that every locally inverse semigroup is not a generalized inverse semigroup, thus validating the statement; “A generalized inverse semigroup has the property of being locally inverse. However, not every locally inverse semigroup is a generalized inverse semigroup.”
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