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Author(s): Pokalas P. Tal , M. S. Mahmud.

Volume/Issue: Volume 5 , Issue 2 (2022)

Abstract:

An element s of a semigroup S is said to be a right (resp. left) magnifying (magnifier) element if there exists a proper subset M of S such that Ms=S [resp. sM=S]. If M is a proper subsemigroup of S, then s in S is called strong right (resp. strong left) magnifying element. In this paper, we present a panorama of various research articles in magnifying elements in semigroups from its inception in 1963. We present this via the various existing notions and related results.

Keywords:

Semigroup; subsemigroup; left (right) magnifying element.

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