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ON A DUALITY THEOREM OF WAKAMATSU
Published online by Cambridge University Press: 01 October 2008
Abstract
Let R be a left coherent ring, S a right coherent ring and RU a generalized tilting module, with S=End(RU) satisfying the condition that each finitely presented left R-module X with ExtRi(X,U)=0 for any i≥1 is U-torsionless. If M is a finitely presented left R-module such that ExtRi(M,U)=0 for any i≥0 with (where n is a nonnegative integer), then and ExtSi(ExtRn(M,U),U)=0 for any i≥0 with . A duality is thus induced between the category of finitely presented holonomic left R-modules and the category of finitely presented holonomic right S-modules.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 78 , Issue 2 , October 2008 , pp. 343 - 350
- Copyright
- Copyright © 2008 Australian Mathematical Society