On strongly J-clean rings associated with polynomial identity g(x) = 0

Subject Areas : Rings theory

H. Haj Seyyed Javadi ¹ , S. Jamshidvand ² , M. Maleki ³

1 - Department of Mathematics, Shahed University, Tehran, Iran
2 - Department of Mathematics, Shahed University, Tehran, Iran
3 - Department of Mathematics, Shahed University, Tehran, Iran

Received: 2013-01-01 Accepted : 2013-01-01 Published : 2013-06-01

Keywords: strongly g(x)-clean rings, strongly g(x)-J-clean rings, strongly J-clean rings, rings generated by units,

Abstract :

In this paper, we introduce the new notion of strongly J-clean rings associatedwith polynomial identity g(x) = 0, as a generalization of strongly J-clean rings. We denotestrongly J-clean rings associated with polynomial identity g(x) = 0 by strongly g(x)-J-cleanrings. Next, we investigate some properties of strongly g(x)-J-clean.

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