Keyword: Permutative Semigroup : Search

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Isbell’s Zigzag theorem for permutative orthodox semigroups and clifford semigroups
- Noor Alam and
- Noor Mohammad Khan
Asian-European Journal of Mathematics22 Nov 2021
Preview Abstract
In this paper, we prove that the dominion of any full orthodox subsemigroup of a medial orthodox semigroup is described by the Isbell zigzag theorem in the category of medial orthodox semigroups. As a consequence, the dominions of any full completely regular subsemigroup of a medial completely regular semigroup as well as that of any full Clifford subsemigroup of a medial Clifford semigroup are also described by the Isbell zigzag theorem in the categories of all medial completely regular semigroups and of all medial Clifford semigroups, respectively.

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