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The MCM-approximation of the trivial module over a category algebra
Published 12 Jan 2016 in math.RT | (1601.02737v1)
Abstract: For a finite free EI category, we construct an explicit module over its category algebra. If in addition the category is projective over the ground field, the constructed module is Gorenstein-projective and is a maximal Cohen-Macaulay approximation of the trivial module. We give conditions on when the trivial module is Gorenstein-projective.
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