WEAKLY G(X)-CLEAN RINGS

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ASHRAFI NAHID; AHMADI ZAHRA

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Journal Paper

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2012 | Volume:7 | Issue:2 Page(s): 83-91

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Information Journal Paper

Title

WEAKLY G(X)-CLEAN RINGS

Author(s)

ASHRAFI NAHID | AHMADI ZAHRA | Issue Writer Certificate

Keywords

CLEAN RING

G(X)-CLEAN RING

WEAKLY G(X)-CLEAN RING

Abstract

A ring R with identity is called “clean” if for every element a Î R, there exist an idempotent e and a unit u in R such that a=u+e.Let C (R) denote the center of a ring R and g (x) be a polynomial in C(R) [x]. An element r Î R is called “g (x) -clean” if r=u+s where g(s) =0 and u is a unit of R and R is g (x) -clean if every element is g(x) -clean. In this paper we define a ring to be weakly g (x) -clean if each element of R can be written as either the sum or difference of a unit and a root of g (x).

Cites

APPLICATION OF COLLOCATION METHOD IN FINDING ROOTS

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APA: Copy

ASHRAFI, NAHID, & AHMADI, ZAHRA. (2012). WEAKLY G(X)-CLEAN RINGS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 7(2), 83-91. SID. https://sid.ir/paper/310339/en

Vancouver: Copy

ASHRAFI NAHID, AHMADI ZAHRA. WEAKLY G(X)-CLEAN RINGS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2012;7(2):83-91. Available from: https://sid.ir/paper/310339/en

IEEE: Copy

NAHID ASHRAFI, and ZAHRA AHMADI, “WEAKLY G(X)-CLEAN RINGS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 7, no. 2, pp. 83–91, 2012, [Online]. Available: https://sid.ir/paper/310339/en

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