[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2013.50.1.219

ON φ-VON NEUMANN REGULAR RINGS

Zhao, Wei (College of Mathematics Sichuan Normal University)
Wang, Fanggui (College of Mathematics Sichuan Normal University)
Tang, Gaohua (School of Mathematical Sciences Guangxi Teachers Education University)

Publication Information

Journal of the Korean Mathematical Society / v.50, no.1, 2013 , pp. 219-229 More about this Journal

Abstract

Let R be a commutative ring with $1{\neq}0$ and let $\mathcal{H}$ = {R|R is a commutative ring and Nil(R) is a divided prime ideal}. If $R{\in}\mathcal{H}$ , then R is called a ${\phi}$ -ring. In this paper, we introduce the concepts of ${\phi}$ -torsion modules, ${\phi}$ -flat modules, and ${\phi}$ -von Neumann regular rings.

Keywords

${\phi}$ -torsion modules; ${\phi}$ -flat modules; ${\phi}$ -von Neumann regular rings;

Citations & Related Records

Reference

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