The Source of Primeness of Rings
Journal of New Theory, sa.41, ss.100-104, 2022 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2022
- Doi Numarası: 10.53570/jnt.1189651
- Dergi Adı: Journal of New Theory
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.100-104
- Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet
Özet
In this study, we define a new concept, i.e., source of primeness of a ring $R$, as $P_{R} := bigcap_{ain R} S_{R}^{a}$ such that $S_{R}^{a}:={bin R mid aRb=(0)}$. We then examine some basic properties of $P_{R}$ related to the ring’s idempotent elements, nilpotent elements, zero divisor elements, and identity elements. Finally, we discuss the need for further research.