A Note on Potent Elements

In this paper, we prove that every exchange ring can be characterized by potent elements. Also we extend [10, Theorem 3.1 and Theorem 4.1] to quasi-clean rings in which every element is a sum of a potent element and a unit.

Saved in:
Bibliographic Details
Published inKyungpook mathematical journal Vol. 45; no. 4; pp. 519 - 526
Main Author Chen, Huanyin
Format Journal Article
LanguageKorean
Published 경북대학교 자연과학대학 수학과 01.12.2005
Subjects
수학
exchange ring
potent element
quasi-clean ring
Online AccessGet full text

Cover

More Information
Summary:In this paper, we prove that every exchange ring can be characterized by potent elements. Also we extend [10, Theorem 3.1 and Theorem 4.1] to quasi-clean rings in which every element is a sum of a potent element and a unit.
Bibliography:KISTI1.1003/JNL.JAKO200510102428600
G704-000128.2005.45.4.008
ISSN:1225-6951
0454-8124