Koszul complex over skew polynomial rings

2017/12/21 by Montaner, Josep Àlvarez, Boix, Alberto F., Zarzuela, Santiago
#14B25 #16S36 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13A35 #Rings and Algebras (math.RA) #Secondary 13B10

paper · doi:10.48550/arxiv.1712.07836

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.

Related

• Koszul cycles and Golod rings
• The Herzog-Takayama resolution over a skew polynomial ring
• Koszul property of diagonal subalgebras
• Resolutions of Koszul complexes and applications
• Canonical Resolutions over Koszul Algebras