Hadamard Product of Monomial Ideals and the Hadamard Package

Iman Bahmani Jafarloo, Cristiano Bocci and Elena Guardo ()
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Iman Bahmani Jafarloo: Evolution, Kungsgatan 49, 111 22 Stockholm, Sweden
Cristiano Bocci: Department of Information Engineering and Mathematics, Università degli Studi di Siena, Via Roma 56, 53100 Siena, Italy
Elena Guardo: Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria, 6, 95100 Catania, Italy

Mathematics, 2024, vol. 12, issue 7, 1-10

Abstract: In this paper, we generalize and study the concept of Hadamard product of ideals of projective varieties to the case of monomial ideals. We have a research direction similar to the one of the join of monomial ideals contained in a paper of Sturmfels and Sullivant. In the second part of the paper, we give a brief tutorial on the Hadamard.m2 package of Macaulay2.

Keywords: Hadamard product; Segre product; Macaulay2; monomial ideals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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