TRIANGULAR MATRIX REPRESENTATIONS OF RING EXTENSIONS

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ROBAT SARPOUSHI M.; HASHEMIAN NAEINI E.

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

Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2009 | Issue:20

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Title

TRIANGULAR MATRIX REPRESENTATIONS OF RING EXTENSIONS

Author(s)

ROBAT SARPOUSHI M. | HASHEMIAN NAEINI E.

Keywords

RING EXTENSION

QUASI-BAER RING

SEMI-CENTRAL IDEMPOTENT

U.P.-MONOID RING

Abstract

WE INVESTIGATE THE CLASS OF PIECEWISE PRIME, PWP, A RING WHICH PROPERLY INCLUDES ALL PIECEWISE DOMAIN. FOR A PWP RING WE DETERMINE A LARGE CLASS OF RING EXTENSIONS WHICH HAVE A GENERALIZED TRIANGULAR MATRIX REPRESENTATION FOR WHICH THE DIAGONAL RINGS ARE PRIME. WE INVESTIGATE THE QUASI-BAER AND RELATED CONDITIONS ON MONOID RINGS R[G]. IN PARTICULAR WE CONSIDER THE TRANSFER OF THE QUASI-BAER AND RELATED CONDITIONS BETWEEN R AND A U.P.-MONOID RING R[G] OF A U.P.-MONOID G OVER R. WE CHARACTERIZE THE SEMI-CENTRAL IDEMPOTENTS OF VARIOUS RING EXTENSIONS OF R IN TERMS OF THE SEMI-CENTRAL IDEMPOTENTS OF R.

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APA: Copy

ROBAT SARPOUSHI, M., & HASHEMIAN NAEINI, E.. (2009). TRIANGULAR MATRIX REPRESENTATIONS OF RING EXTENSIONS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904457/en

Vancouver: Copy

ROBAT SARPOUSHI M., HASHEMIAN NAEINI E.. TRIANGULAR MATRIX REPRESENTATIONS OF RING EXTENSIONS. 2009. Available from: https://sid.ir/paper/904457/en

IEEE: Copy

M. ROBAT SARPOUSHI, and E. HASHEMIAN NAEINI, “TRIANGULAR MATRIX REPRESENTATIONS OF RING EXTENSIONS,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904457/en

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