EXTENSIONS OF REGULAR RINGS

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SAFARI SABET SH.A.; FARMANI M.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2016 | Volume:8 | Issue:4 Page(s): 331-338

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Information Journal Paper

Title

EXTENSIONS OF REGULAR RINGS

Author(s)

SAFARI SABET SH.A. | FARMANI M. | Issue Writer Certificate

Keywords

GROUP RINGQ2

π -REGULARQ2

Z G -REGULARQ2

STRONGLY Z G –REGULARQ2

Abstract

Let R be an associative ring with identity. An element x 2 R is called Z G -REGULAR (resp. strongly ZG -regular) if there exist g ÎG, nÎZ and rÎR such that xng=xngrxng (resp. xng=x (n+1) g).A ringR is called Z G -REGULAR (resp. strongly Z G -REGULAR) if every element of R is Z G -REGULAR (resp.stronglyZ G -regular). In this paper, we characterize Z G -REGULAR (resp. strongly Z G -REGULAR) rings.Furthermore, this paper includes a brief discussion of Z G -REGULARity in GROUP RINGs.

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APA: Copy

SAFARI SABET, SH.A., & FARMANI, M.. (2016). EXTENSIONS OF REGULAR RINGS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 8(4), 331-338. SID. https://sid.ir/paper/231744/en

Vancouver: Copy

SAFARI SABET SH.A., FARMANI M.. EXTENSIONS OF REGULAR RINGS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2016;8(4):331-338. Available from: https://sid.ir/paper/231744/en

IEEE: Copy

SH.A. SAFARI SABET, and M. FARMANI, “EXTENSIONS OF REGULAR RINGS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 8, no. 4, pp. 331–338, 2016, [Online]. Available: https://sid.ir/paper/231744/en

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