This article is cited in 1 paper

Minimal Graded Resolutions of Reverse Lexsegment Ideals

M. Crupi, M. La Barbiera

University of Messina

Abstract: Let $k$ be a field, and let $S=k[x_1,\dots,x_n]$ be the polynomial ring in $x_1,\dots,x_n$ with coefficients in the field $k$. We study the minimal graded free $S$-resolutions of reverse lexsegment ideals of $S$. We discuss the extremal Betti numbers of initial reverse lexsegment ideals of $S$. Moreover, we analyze all reverse lexsegment ideals with linear resolution.

Keywords: polynomial ring, reverse lexsegment ideal, Betti number, monomial ideals, minimal graded free resolutions.

UDC: 512.554.36

Received: 20.09.2010

DOI: 10.4213/mzm9316

 English version: Mathematical Notes, 2012, 91:3, 364–377

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