Almost prime ideals in noncommutative rings
| Autor: | Abouhalaka, Alaa, Findik, Sehmus |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A proper ideal $P$ of a commutative ring with identity is an almost prime ideal if $ab \in P{\setminus}P^2$ implies $a \in P$ or $b \in P$. In this paper we define almost prime ideals of a noncommutative ring, and provide some equivalent definitions. We also examine some cases such that all right ideals of a noncommutative ring are almost prime right ideals. Comment: 9 Pages |
| Databáze: | arXiv |
| Externí odkaz: |
|