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Generating degrees for graded projective resolutions
Published 15 Feb 2017 in math.KT, math.RA, and math.RT | (1702.04575v2)
Abstract: We provide a framework connecting several well known theories related to the linearity of graded modules over graded algebras. In the first part, we pay a particular attention to the tensor products of graded bimodules over graded algebras. Finally, we provide a tool to evaluate the possible degrees of a module appearing in a graded projective resolution once the generating degrees for the first term of some particular projective resolution are known.
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