Generating degrees for graded projective resolutions

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.

13 pages. This is the final version to be published in JAA. We changed the title and corrected some minor mistakes