G-dimension over local homomorphisms. Applications to the Frobenius endomorphism
作者： Srikanth Iyengar , Sean Sather-Wagstaff
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摘要: We develop a theory of G-dimension for modules over local homomorphisms which encompasses the classical finite rings. As an application, we prove that ring R characteristic p is Gorenstein if and only it pos- sesses nonzero module projective dimension has when considered as R-module via some power Frobenius endomorphism R. also results track behavior properties under (de)composition.
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