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EnglishLet k be a field, and let S = k[x_1, . . . , x_n] be the polynomial ring in x_1, . . . , 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.
| Titolo: | Ideals generated by reverse lexicographic segments |
| Autori: | |
| Data di pubblicazione: | 2011 |
| Rivista: | |
| Abstract: | Let k be a field, and let S = k[x_1, . . . , x_n] be the polynomial ring in x_1, . . . , 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. |
| Handle: | http://hdl.handle.net/11570/1902109 |
| Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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