论文标题
非交通戒指的几乎是理想
Almost prime ideals in noncommutative rings
论文作者
论文摘要
如果$ ab \在p {\ setminus} p^2 $中,则具有身份的合理理想$ p $几乎是理想的理想。在本文中,我们定义了非交通环的几乎主要理想,并提供了一些等效的定义。我们还研究了某些情况,使得非交通戒指的所有正确理想几乎都是正确的理想。
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.