TY  - JOUR
TI  - The Source of Primeness of Rings
AB  - 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.
AU  - Yeşil, Didem
AU  - Karalarlıoğlu Camcı, Didem
DO  - 10.53570/jnt.1189651
PY  - 2022
JO  - Journal of New Theory
IS  - 41
SN  - 2149-1402
SP  - 100
EP  - 104
DB  - TRDizin
UR  - http://search/yayin/detay/1154523
ER  -