Geodesic
Studying semigroups using the properties of their prime $m$-ideals
The Bulletin of Irkutsk State University. Series Mathematics, Tome 34 (2020), pp. 109-125 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article, we present the idea of $m$-ideals, prime $m$-ideals and their associated types for a positive integer $m$ in a semigroup. We present different chrarcterizations of semigroups through $m$-ideals. We demonstrate that the ordinary ideals, and their relevent types differ from the $m$-ideals and their assocated types by presenting concrete examples on the maximal, irreducible and strongly irreducible $m$-ideals. We conclude from the study that the introduction of the $m$-ideal will explore new fields of studies in semigroups and their applications.
Keywords: completely prime $m$-ideals, strongly prime $m$-ideals, maximal $m$-ideals, irreducible $m$-ideals, strongly Irreducible $m$-ideals. 
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     title = {Studying semigroups using the properties of their prime $m$-ideals},
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M. Munir; N. Kausar; B. Davvaz; M. Gulistan; M. Gulzar. Studying semigroups using the properties of their prime $m$-ideals. The Bulletin of Irkutsk State University. Series Mathematics, Tome 34 (2020), pp. 109-125. http://geodesic.mathdoc.fr/item/IIGUM_2020_34_a7/

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