Finite Modules of Finite Injective Dimension Over a Noetherian Algebra |
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| Authors: | Goto Shiro; Nishida Kenji |
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| Institution: | Department of Mathematics, School of Science and Technology, Meiji University Kawasaki 214-8571, Japan, goto{at}math.meiji.ac.jp
Department of Mathematical Sciences, Shinshu University Matsumoto 390–8621, Japan, kenisida{at}math.shinshu-u.ac.jp |
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| Abstract: | Let R be a commutative Noetherian ring. Let P(R) (respectively,I(R)) be the category of all finite R-modules of finite projective(respectively, injective) dimension. Sharp 9] constructed acategory equivalence between I(R) and P(R) for certain Cohen–Macaulaylocal rings R. Thus many properties about finite modules offinite projective dimension can be connected with those of finiteinjective dimension through this equivalence. |
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