Author/Authors :
Gary F. Birkenmeier، نويسنده , , Jae Keol Park، نويسنده ,
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
