Title of article :
Gorenstein hereditary rings with respect to a semidualizing module
Author/Authors :
Zhao ، G. - Hangzhou Dianzi University , Zhang ، B. - Henan Polytechnic University
Abstract :
Let C be a semidualizing module. We first investigate the properties of finitely generated GC-projective modules. Then, relative to C, we introduce and study the rings over which every submodule of a projective (flat) module is GC-projective (flat), which we call C-Gorenstein (semi)hereditary rings. It is proved that every C-Gorenstein hereditary ring is both coherent and C-Gorenstein semihereditary.
Keywords :
Semidualizing module , GC , projective module , GC , flat module , GC , (semi)hereditary ring , coherent ring
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
