Koszul complex over skew polynomial rings
Josep \`Alvarez Montaner, Alberto F. Boix, Santiago Zarzuela
TL;DR
This paper constructs a Koszul complex in skew polynomial rings with a flat endomorphism, providing a finite free resolution for ideals generated by Koszul regular sequences, advancing algebraic understanding of such structures.
Contribution
It introduces a new Koszul complex construction in skew polynomial rings associated with flat endomorphisms, offering a finite free resolution for specific ideals.
Findings
Finite free resolution of ideals generated by Koszul regular sequences
Construction of Koszul complex in skew polynomial rings
Advancement in algebraic resolution techniques
Abstract
We construct a Koszul complex in the category of left skew polynomial rings associated to a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence.
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