Strongly Quasi-Duo Rings

Authors

  • Saeed Safaeeyan

DOI:

https://doi.org/10.30495/jme.v0i0.78

Keywords:

Quasi-duo rings, strongly quasi-duo rings, totally fully invariant right ideals

Abstract

In this paper we extend the concepts of two sided ideal and right quasi-duo ring. These ideals and rings are called totally fully in- variant and right strongly quasi-duo, respectively. Right strongly quasi- duo rings are always right quasi-duo. We investigate the properties of these rings and ideals and show among other things that right strongly quasiduo rings are classical, directly finite and cohopfian while right quasi duo, right duo or commutative rings do not have necessarily these properties.

Author Biography

Saeed Safaeeyan

Department of mathematical Sciences Assistant Professor of Mathematics Yasouj University P. O. Box: 75918-74831 Yasouj, Iran

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Published

2011-06-01

Issue

Vol 5 (2010-2011)

Section

Vol. 5, No. 2(1), (2011)

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