“School of Mathematics”
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| Paper IPM / M / 200 |
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| Abstract: | |
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Let B=K⊗k A, where k is a field, A is a Noetherian
k-algebra, and K is a Galois extension field of k. It
truns out that the Galios group of K over k acts on a finite
direct sum of certain modules of generalized fractions of B in a
natural way. In this paper, it is proved that the fixed submodule
of the action is a module of generalized fractions of A. This
result provides a description, in terms of modules of generalized
fractions, of indecomposable injective modules over a Gorenstein
algebra over a field.
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