J. Korean Math. Soc. 2013; 50(1): 219-229
Printed January 1, 2013
https://doi.org/10.4134/JKMS.2013.50.1.219
Copyright © The Korean Mathematical Society.
Wei Zhao, Fanggui Wang, and Gaohua Tang
Sichuan Normal University, Sichuan Normal University, Guangxi Teachers Education University
Let $R$ be a commutative ring with $1\neq0$ 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
MSC numbers: Primary 13C05, 13C11, 13C12
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