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Studying Semigroups Using the Properties of Their Prime m-Ideals
oleh: M. Munir, N. Kausar, B. Davvaz, M. Gulistan, M. Gulzar
| Format: | Article |
|---|---|
| Diterbitkan: | Irkutsk State University 2020-12-01 |
Deskripsi
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.