Title of article
Triangular matrix representations of ring extensions
Author/Authors
Gary F. Birkenmeier، نويسنده , , Jae Keol Park، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
21
From page
457
To page
477
Abstract
In this paper we investigate the class of piecewise prime, PWP, rings which properly includes all piecewise domains (hence all right hereditary rings which are semiprimary or right Noetherian). 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.
Keywords
Triangulating dimension , Triangulating idempotent , U.p.-monoid ring , Generalized triangular matrix representation , ring extension , Normalizing extension , Quasinormalizing extension , Piecewise domain , Piecewise prime ring , Principally quasi-Baer ring , Quasi-Baer ring , Semicentral idempotent , Centralizing extension
Journal title
Journal of Algebra
Serial Year
2003
Journal title
Journal of Algebra
Record number
696266
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