QA29 : Triangular Matrix representations of ring extensions
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2009
Authors:
Abstarct: In this paper we intruducing the concept of a set of left triangulating idempotents and investigate related condition between a ring and various ring extension. These idempotents determine a generalized tringular matix representation for a ring. Aslo we investigate the class of piecewise prime, PWP, rings which 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:
#Generalized triangular matrix representation #Ring extension #Centralizing extension #Normalizing extension #Quasi normalizing extenion #Piecewise domain #Piecewise prime ring #Principally quasi-Baer ring #Quasi-Baer ring #Semi central idempotent #Triangulating dimension #Triangulating idempotent #U.p.-monoid ring Link
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: