A NOTE ON GORENSTEIN GLOBAL DIMENSION OF PULLBACK RINGS

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International Electronic Journal of Algebra
Volume:8 Issue:8
A NOTE ON GORENSTEIN GLOBAL DIMENSION OF PULLBACK RINGS

A NOTE ON GORENSTEIN GLOBAL DIMENSION OF PULLBACK RINGS

Authors : Driss Bennis

Pages : 30-44

View : 14 | Download : 10

Publication Date : 2010-12-01

Article Type : Research Paper

Abstract :The study of global dimension of pullback rings has been subject of several interesting works and has been served to solve many open problems. In this paper, we attempt to extend some results on the global dimension of pullback rings to the Gorenstein setting. As a particular case we discuss the transfer of the notion of Gorenstein rings in some particular pullback constructions.
Keywords : pullback rings, Gorenstein homological dimensions of modules and of rings, n Gorenstein rings, divisorial ideals, divisorial rings

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