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Original Articles

A Koszul complex over skew polynomial rings

, &
Pages 2904-2919 | Received 19 Dec 2017, Accepted 11 Oct 2018, Published online: 14 Feb 2019
 

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).

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