Studying semigroups using the properties of their prime m-ideals
Bulletin of Irkutsk State University, Series Mathematics, cilt.4, ss.109-125, 2021 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 4
- Basım Tarihi: 2021
- Doi Numarası: 10.26516/1997-7670.2020.34.109
- Dergi Adı: Bulletin of Irkutsk State University, Series Mathematics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.109-125
- Anahtar Kelimeler: Completely prime m-ideals, Irreducible m-ideals, Maximal m-ideals, Strongly Irreducible m-ideals, Strongly prime m-ideals
- Yıldız Teknik Üniversitesi Adresli: Hayır
Özet
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 chrarc- terizations 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.