The Eliahou-Kervaire resolution over a skew polynomial ring

Authors

Luigi Ferraro, The University of Texas Rio Grande ValleyFollow
Alexis Hardesty

Document Type

Article

Publication Date

4-2024

Abstract

In a 1987 paper, Eliahou and Kervaire constructed a minimal resolution of a class of monomial ideals in a polynomial ring, called stable ideals. As a consequence of their construction they deduced several homological properties of stable ideals. Furthermore they showed that this resolution admits an associative, graded commutative product that satisfies the Leibniz rule. In this paper we show that their construction can be extended to stable ideals in skew polynomial rings. As a consequence we show that the homological properties of stable ideals proved by Eliahou and Kervaire hold also for stable ideals in skew polynomial rings.

Comments

Original published version available at https://doi.org/10.1080/00927872.2023.2269560

Recommended Citation

Ferraro, Luigi, and Alexis Hardesty. "The Eliahou-Kervaire resolution over a skew polynomial ring." Communications in Algebra 52, no. 4 (2024): 1636-1655. https://doi.org/10.1080/00927872.2023.2269560

Publication Title

Communications in Algebra

DOI

10.1080/00927872.2023.2269560