• Corpus ID: 239616168

Computational methods for t-spread monomial ideals

  title={Computational methods for t-spread monomial ideals},
  author={Luca Amata},
Let K be a field and S = K[x1, . . . , xn] a standard polynomial ring over K. In this paper, some new optimized 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 are presented. Some technical tools allowing to compute the cardinality of t-spread strongly stable sets avoiding their construction are given. Then, a Macaulay2 package, TSpreadIdeals, providing methods to easily manage t-spread… 

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