A new explicit finite free resolution of ideals generated by monomials in an R-sequence
type: Item
instance of: scholarly article
title: A new explicit finite free resolution of ideals generated by monomials in an R-sequence
zbMATH Open document ID: 0652.13012
DOI: 10.1016/0022-4049(88)90088-6
author: Gennady Lyubeznik
published in: Journal of Pure and Applied Algebra
publication date: 1988-01-01T00:00:00Z
review text: Let \(x_ 1,...,x_ n\) be an R-sequence in the commutative ring R, and let \(y_ 1,...,y_ m\) be m monomials in the \(x_ i\). There is a standard finite free resolution, the Taylor resolution, of \(R/(y_ 1,...,y_ m)\), but there is no explicit minimal free resolution. The present paper constructs an explicit resolution more efficient than the Taylor resolution.
Mathematics Subject Classification ID: 13D99
Mathematics Subject Classification ID: 13A15
zbMATH DE Number: 4063238
zbMATH Keywords: R-sequence
zbMATH Keywords: finite free resolution
zbMATH Keywords: Taylor resolution
MaRDI profile type: Publication
full work available at URL: 0022-4049(88)90088-6
OpenAlex ID: W2084872532
cites work: Q4748248
cites work: Q3695369
cites work: New constructive methods in classical ideal theory
cites work: Q3729028
description: scientific article; zbMATH DE number 4063238