Separable Bimodules and Approximation |
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Authors: | Email author" target="_blank">S?CaenepeelEmail author Bin?Zhu |
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Institution: | (1) Faculty of Applied Sciences, Free University of Brussels (VUB), B-1050 Brussels, Belgium;(2) Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, China |
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Abstract: | Using approximations, we give several characterizations of separability of bimodules. We also discuss how separability properties can be used to transfer some representation theoretic properties from one ring to another: contravariant finiteness of the subcategory of (finitely generated) left modules with finite projective dimension, finitistic dimension, finite representation type, Auslander algebra, tame or wild representation type.
Presented by A. VerschorenMathematics Subjects Classifications (2000) 16L60, 16H05, 16G10.Research supported by the bilateral project BIL99/43 “New computational, geometric and algebraic methods applied to quantum groups and diffferential operators” of the Flemish and Chinese governments. |
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Keywords: | separable module approximation representation type ring extension |
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