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This article is cited in 2 scientific papers (total in 2 papers)
Ideals Generated by Reverse Lexicographic Segments
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 ideals of $S$ which are generated by reverse lexicographic segments of monomials of $S$. An ideal generated by a reverse lexicographic segment is called a completely reverse lexicographic segment ideal if all iterated shadows of the set of generators are reverse lexicographic segments. We characterize all completely reverse lexicographic segment ideals of $S$ and determine conditions under which they have a linear resolution.
Keywords:
polynomial ring, ideal, reverse lexicographic segment, iterated shadow, linear resolution.
Received: 21.09.2009
Citation:
M. Crupi, M. La Barbiera, “Ideals Generated by Reverse Lexicographic Segments”, Mat. Zametki, 89:1 (2011), 53–69; Math. Notes, 89:1 (2011), 68–81
Linking options:
https://www.mathnet.ru/eng/mzm8920https://doi.org/10.4213/mzm8920 https://www.mathnet.ru/eng/mzm/v89/i1/p53
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Abstract page: | 380 | Full-text PDF : | 165 | References: | 21 | First page: | 6 |
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