ON STRONGLY CLEAN TRIANGULAR MATRIX RINGS

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Karimi Mansoub A.; MOUSSAVI A.; HABIBI M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2015 | Issue:46

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Title

ON STRONGLY CLEAN TRIANGULAR MATRIX RINGS

Author(s)

Karimi Mansoub A. | MOUSSAVI A. | HABIBI M. | Issue Writer Certificate

Keywords

TRIANGULAR MATRIX RING

STRONGLY CLEAN RING

G(X))-CLEAN

Abstract

LET R BE A ASSOCIATIVE RING WITH IDENTITY. WE PROVE THAT FOR (FORMULA), IF A0 OR 1- A0 IS STRONGLY P-REGULAR IN R, THEN (A0, A1, · · ·, AN−1) IS A STRONGLY CLEAN ELEMENT IN THE TRIANGULAR MATRIX RING (FORMULA). AS A COROLLARY, WE DEDUCE THAT IF R IS A STRONGLY P-REGULAR RING, THEN (FORMULA) IS A STRONGLY CLEAN RING. WE ALSO SHOW THAT THE (K, G (X)) -CLEAN PROPERTY OF A RING R AND (FORMULA) IS EQUIVALENT.

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APA: Copy

Karimi Mansoub, A., MOUSSAVI, A., & HABIBI, M.. (2015). ON STRONGLY CLEAN TRIANGULAR MATRIX RINGS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/921014/en

Vancouver: Copy

Karimi Mansoub A., MOUSSAVI A., HABIBI M.. ON STRONGLY CLEAN TRIANGULAR MATRIX RINGS. 2015. Available from: https://sid.ir/paper/921014/en

IEEE: Copy

A. Karimi Mansoub, A. MOUSSAVI, and M. HABIBI, “ON STRONGLY CLEAN TRIANGULAR MATRIX RINGS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/921014/en

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