Inverse Semigroup with Source of Semiprimeness
International Journal of Mathematics Trends and Technology, cilt.70, sa.6, ss.13-19, 2024 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 70 Sayı: 6
- Basım Tarihi: 2024
- Doi Numarası: 10.14445/22315373/ijmtt-v70i6p102
- Dergi Adı: International Journal of Mathematics Trends and Technology
- Sayfa Sayıları: ss.13-19
- Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet
Özet
In this study, by using the set of the source of semiprimeness, we give the definitions of |𝑆𝑆|− inverse semigroup and |𝑆𝑆|− inverse monoid which are generalizations of semigroup and monoid concepts. Then, we investigate these structures and determine their basic properties. Then, we define |𝑆𝑆|− group using these definitions. Using the definitions given, we examine the relationships between the new structures.