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- Title
COMPUTATIONAL METHODS FOR t-SPREAD MONOMIAL IDEALS.
- Authors
Amata, Luca
- Abstract
Let K be a field and S = K[x1,..., xn] a standard polynomial ring over K. In this paper, we give new combinatorial algorithms to compute the smallest t-spread lexicographic set and the smallest t-spread strongly stable set containing a given set of t-spread monomials of S. Some technical tools allowing to compute the cardinality of t-spread strongly stable sets avoiding their construction are also presented. Such functions are also implemented in a Macaulay2 package, TSpreadIdeals, to ease the computation of well-known results about algebraic invariants for t-spread ideals.
- Subjects
BETTI numbers; POLYNOMIAL rings; GROBNER bases; ALGEBRA
- Publication
International Electronic Journal of Algebra, 2024, Vol 35, p186
- ISSN
1306-6048
- Publication type
Article
- DOI
10.24330/ieja.1402973