Exchange rings in which all regular elements are one-sided unit-regular

Title:

Exchange rings in which all regular elements are one-sided unit-regular

Creator:

Chen, Huanyin

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c025a89b-1114-42be-ba3b-217a6e9c4c86
uuid:c025a89b-1114-42be-ba3b-217a6e9c4c86

Subject:

exchange ring, one-sided unit-regularity, and idempotent

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let $R$ be an exchange ring in which all regular elements are one-sided unit-regular. Then every regular element in $R$ is the sum of an idempotent and a one-sided unit. Furthermore, we extend this result to exchange rings satisfying related comparability.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

899-910

Source:

Czechoslovak Mathematical Journal | 2008 Volume:58 | Number:4

Harvested from:

CDK

Metadata only:

false