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KERNEL IDEALS IN SEMIGROUPS

Sujatha Gaadi*
Periodicity:January - June'2024

Abstract

In this paper the concepts of ∗-ideals, strong ideals, ∗- congruences and kernel ideals are introduced in a pseudo-complemented semigroup and discussed certain properties of these. Some equivalent conditions for an ideal of a pseudo-complemented semigroup to become a kernel ideal are obtained. The lattice structure of strong ideals is discussed.

Keywords

 Semigroup, pseudo-complemented semigroup,∗-ideal, strong ideal,∗-congruence and kernel ideal.

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