Abstract
We construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence.
2010 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
The authors thank Rishi Vyas for fruitful discussions about the material presented here, and the referee for his/her very useful remarks.
Funding
The first author is partially supported by Generalitat de Catalunya 2017SGR-932 project and Spanish Ministerio de Economía y Competitividad MTM2015-69135-P. The second and third authors are supported by Spanish Ministerio de Economía y Competitividad MTM2016-7881-P. The second author is partially supported by the Israel Science Foundation (Grant No. 844/14).