Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2014; 51(2): 579-594

Printed March 31, 2014

https://doi.org/10.4134/BKMS.2014.51.2.579

Copyright © The Korean Mathematical Society.

$Nil_*$-coherent rings

Yueming Xiang and Lunqun Ouyang

Huaihua University, Hunan University of Science and Technology

Abstract

Let $R$ be a ring and $Nil_*(R)$ be the prime radical of $R$. In this paper, we say that a ring $R$ is left $Nil_*$-coherent if $Nil_*(R)$ is coherent as a left $R$-module. The concept is introduced as the generalization of left $J$-coherent rings and semiprime rings. Some properties of $Nil_*$-coherent rings are also studied in terms of $N$-injective modules and $N$-flat modules.

Keywords: $Nil_*$-coherent ring, strongly $Nil_*$-coherent ring, $N$-injective module, $N$-flat module, precover and preenvelope

MSC numbers: 16N60, 16E10, 16E05

Stats or Metrics

Share this article on :

Related articles in BKMS