Clean Elements in Abelian Rings

Proceedings Mathematical Sciences

Angelina Y M Chin¹ 

[1] Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 00 Kuala Lumpur, Malaysia$$

关键词: Clean;    topologically boolean;    abelian ring.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Let 𝑅 be a ring with identity. An element in 𝑅 is said to be clean if it is the sum of a unit and an idempotent. 𝑅 is said to be clean if all of its elements are clean. If every idempotent in 𝑅 is central, then 𝑅 is said to be abelian. In this paper we obtain some conditions equivalent to being clean in an abelian ring.

【 授权许可】

Unknown