The Source of Semiprimeness of Semigroups
Yükleniyor...
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we define new semigroup structures using the set S-S = {a is an element of S vertical bar aSa = 0} which is called the source of semiprimeness for a semigroup S with zero element. vertical bar S-S vertical bar-idempotent semigroup, vertical bar S-S vertical bar-regular semigroup, vertical bar S-S vertical bar-reduced semigroup, and vertical bar S-S vertical bar-nonzero divisor semigroup which are generalizations of idempotent, regular, reduced, and nonzero divisor semigroups in semigroup theory are investigated, and their basic properties are determined. In addition, we adapt some well-known results in semigroup theory to these new semigroups.
Açıklama
Anahtar Kelimeler
Semigroups, Semiprimeness, Zero element
Kaynak
Journal of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
2021
Sayı
Künye
Albayrak, B., Yeşil, D., Karalarlioğlu Camci, D. (2021). The Source of Semiprimeness of Semigroups. Journal of Mathematics, 2021, 1–8. https://doi.org/10.1155/2021/4659756
