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FINITE MODULES OF FINITE INJECTIVE DIMENSION OVER A NOETHERIAN ALGEBRA

Published online by Cambridge University Press:  08 April 2017

SHIRO GOTO  and
KENJI NISHIDA
SHIRO GOTO
Affiliation:
Department of Mathematics School of Science and Technology, Meiji University, Kawasaki 214-8571, Japan; [email protected]
KENJI NISHIDA
Affiliation:
Department of Mathematical Sciences, Shinshu University, Matsumoto 390–8621, Japan; [email protected]
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Abstract

Let R be a commutative Noetherian ring. Let [Pscr ](R) (respectively, [Iscr ](R)) be the category of all finite R-modules of finite projective (respectively, injective) dimension. Sharp [9] constructed a category equivalence between [Iscr ](R) and [Pscr ](R) for certain Cohen–Macaulay local rings R. Thus many properties about finite modules of finite projective dimension can be connected with those of finite injective dimension through this equivalence.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 63 , Issue 2 , April 2001 , pp. 319 - 335
Copyright
The London Mathematical Society 2001

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