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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2017
- DOI:
- 10.48550/arXiv.1702.04575
- arXiv:
- arXiv:1702.04575
- Bibcode:
- 2017arXiv170204575M
- Keywords:
-
- Mathematics - K-Theory and Homology;
- Mathematics - Rings and Algebras;
- Mathematics - Representation Theory;
- 16S37;
- 18G10
- E-Print:
- 13 pages. This is the final version to be published in JAA. We changed the title and corrected some minor mistakes