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A note on Gorenstein global dimension of pullback rings. (English) Zbl 1253.16007

Summary: The study of global dimension of pullback rings has been subject of several interesting works and has 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.

MSC:

16E10 Homological dimension in associative algebras
16E65 Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)
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