Completely lexsegment ideals
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- by Emanuela De Negri and Jürgen Herzog PDF
- Proc. Amer. Math. Soc. 126 (1998), 3467-3473 Request permission
Abstract:
In this paper we study ideals which are generated by lexsegments of monomials. In contrast to initial lexsegments, the shadow of an arbitrary lexsegment is in general not again a lexsegment. An ideal generated by a lexsegment is called completely lexsegment, if all iterated shadows of the set of generators are lexsegments. We characterize all completely lexsegment ideals and describe cases in which they have a linear resolution. We also prove a persistence theorem which states that all iterated shadows of a lexsegment are again lexsegments if the first shadow has this property.References
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Additional Information
- Emanuela De Negri
- Affiliation: FB 6 Mathematik und Informatik, Universität-GHS-Essen, Postfach 103764, Essen 45117, Germany
- Email: mat304@uni-essen.de
- Jürgen Herzog
- Affiliation: FB 6 Mathematik und Informatik, Universität-GHS-Essen, Postfach 103764, Essen 45117, Germany
- MR Author ID: 189999
- Email: mat300@uni-essen.de
- Received by editor(s): February 7, 1997
- Received by editor(s) in revised form: March 5, 1997
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3467-3473
- MSC (1991): Primary 13C99, 13D02
- DOI: https://doi.org/10.1090/S0002-9939-98-04379-2
- MathSciNet review: 1452799