arXiv 1702.045752017-02math.KTmath.RAmath.RT

Generating degrees for graded projective resolutions

Eduardo Marcos, Andrea Solotar, Yury Volkov

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

英文摘要：

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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