A Survey of Advances in Magnifying Elements in Semigroups

Pokalas P. Tal; M. S. Mahmud

doi:10.52589/AJMSS-MY6GH4JW

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A Survey of Advances in Magnifying Elements in Semigroups

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African Journal of Mathematics and Statistics Studies

Vol. 5Issue 22022pp. 33–42Published 16 June 2022

DOI 10.52589/AJMSS-MY6GH4JW

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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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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.