Representation dimension and finitely generated cohomology
作者： Petter Andreas Bergh
DOI: 10.1016/J.AIM.2008.05.007
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摘要: Abstract We consider selfinjective Artin algebras whose cohomology groups are finitely generated over a central ring of operators. For such an algebra, we show that the representation dimension is strictly greater than maximal complexity occurring among its modules. This provides unified approach to computing lower bounds for group algebras, exterior and complete intersections. also obtain new examples classes with arbitrarily large dimension.
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