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Article

Hadamard Product of Monomial Ideals and the Hadamard Package

by
Iman Bahmani Jafarloo
1,
Cristiano Bocci
2 and
Elena Guardo
3,*
1
Evolution, Kungsgatan 49, 111 22 Stockholm, Sweden
2
Department of Information Engineering and Mathematics, Università degli Studi di Siena, Via Roma 56, 53100 Siena, Italy
3
Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria, 6, 95100 Catania, Italy
*
Author to whom correspondence should be addressed.
Mathematics 2024, 12(7), 1113; https://doi.org/10.3390/math12071113
Submission received: 13 February 2024 / Revised: 10 March 2024 / Accepted: 27 March 2024 / Published: 8 April 2024
(This article belongs to the Special Issue Advanced Algebraic Geometry and Applications)
Versions Notes

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 Hadamard product; Segre product; Macaulay2; monomial ideals

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MDPI and ACS Style

Bahmani Jafarloo, I.; Bocci, C.; Guardo, E. Hadamard Product of Monomial Ideals and the Hadamard Package. Mathematics 2024, 12, 1113. https://doi.org/10.3390/math12071113

AMA Style

Bahmani Jafarloo I, Bocci C, Guardo E. Hadamard Product of Monomial Ideals and the Hadamard Package. Mathematics. 2024; 12(7):1113. https://doi.org/10.3390/math12071113

Chicago/Turabian Style

Bahmani Jafarloo, Iman, Cristiano Bocci, and Elena Guardo. 2024. "Hadamard Product of Monomial Ideals and the Hadamard Package" Mathematics 12, no. 7: 1113. https://doi.org/10.3390/math12071113

APA Style

Bahmani Jafarloo, I., Bocci, C., & Guardo, E. (2024). Hadamard Product of Monomial Ideals and the Hadamard Package. Mathematics, 12(7), 1113. https://doi.org/10.3390/math12071113

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