Generating degrees for graded projective resolutions
K-Theory and Homology
2017-09-27 v2 Rings and Algebras
Representation Theory
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.
Cite
@article{arxiv.1702.04575,
title = {Generating degrees for graded projective resolutions},
author = {Eduardo Marcos and Andrea Solotar and Yury Volkov},
journal= {arXiv preprint arXiv:1702.04575},
year = {2017}
}
Comments
13 pages. This is the final version to be published in JAA. We changed the title and corrected some minor mistakes