Dualizing Modules for Orders and Artin Algebras |
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Authors: | Kenji Nishida |
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Institution: | (1) Department of Mathematical Sciences, Shinshu University, Matsumoto, 390-8621, Japan |
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Abstract: | We provide a criterion for a -bimodule to be a dualizing module, where is an order over a commutative Gorenstein complete local domain of dim R=1. Using this criterion, we give examples of dualizing modules which are neither isomorphic to nor a dual of . Thus we can also give such examples over an Artin algebra by modulo a nonzerodivisor. |
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Keywords: | dualizing module cotilting module order Artin algebra |
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