Paper Information

Title: 

TRIANGULAR MATRIX REPRESENTATIONS OF RING EXTENSIONS

Type: PAPER
Author(s): ROBAT SARPOUSHI M.*,HASHEMIAN NAEINI E.
 
 *SHAHROOD UNIVERSITY OF TECHNOLOGY
 
Name of Seminar: SEMINAR ON ALGEBRA (SALG20)
Type of Seminar:  CONFERENCE
Sponsor:  TARBIAT MOALLEM UNIVERSITY, FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER
Date:  2009Volume 20
 
 
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.

 
Keyword(s): RING EXTENSION, QUASI-BAER RING, SEMI-CENTRAL IDEMPOTENT, U.P.-MONOID RING
 
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