【摘要】 本文在文[1]的基础上,引入了幂等单边理想的概念,讨论了它们的性质,再利用幂等单边理想来讨论完全幂等环的性质.更多还原

【Abstract】 Definition. An associative ring R is called an idempotent ring, if R2 = R.Definition: An idempotent ring R is called a completely idempotent ring, if every ideal of R is also an idempotent ring.Definition. The left (or right) ideal of R is called an idempotent left(or right)ideal, if it is also an idempotent ring.In this paper, we use the idempotent left (or right, two sided)ideal to discuss the properties of completely idempotent rings.更多还原