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Matematicheskie Zametki, 2012, Volume 91, Issue 3, Pages 383–399
DOI: https://doi.org/10.4213/mzm9316 (Mi mzm9316) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Minimal Graded Resolutions of Reverse Lexsegment Ideals

M. Crupi, M. La Barbiera

University of Messina
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DOI: https://doi.org/10.4213/mzm9316
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.
Received: 20.09.2010
English version:
Mathematical Notes, 2012, Volume 91, Issue 3, Pages 364–377
DOI: https://doi.org/10.1134/S0001434612030066
Bibliographic databases:
Document Type: Article
UDC: 512.554.36
Language: Russian
Citation: M. Crupi, M. La Barbiera, “Minimal Graded Resolutions of Reverse Lexsegment Ideals”, Mat. Zametki, 91:3 (2012), 383–399; Math. Notes, 91:3 (2012), 364–377
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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