Research Article

Remarks on the group of unıts of a corner ring

Volume: 42 Number: 2 June 30, 2021
EN

Remarks on the group of unıts of a corner ring

Abstract

The aim of this study is to characterize rings having the following properties for a non-trivial idempotent element e of R, U (eRe) = e + eJ(R)e = e + J (eRe) (and U (eRe) = e + N (eRe)),
where U (-), N (-) and J (-) denote the group of units, the set of all nilpotent elements and the Jacobson radical of R, respectively. In the present paper, some characterizations are also obtained in terms of every element is of the form e + u, where e2 = e ∈ R and u ∈ U(eRe).

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

June 3, 2020

Acceptance Date

February 12, 2021

Published in Issue

Year 2021 Volume: 42 Number: 2

APA
Yıldırım, T. (2021). Remarks on the group of unıts of a corner ring. Cumhuriyet Science Journal, 42(2), 321-326. https://doi.org/10.17776/csj.745918

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