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Arithmetical structures on dominated polynomials

2022/02/15 by Carlos E. Valencia, Valencia, Carlos E., Ralihe R. Villagrán +1
Computer Science · Mathematics · #Advanced Algebra and Logic #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation #math.CO #math.NT

paper · pdf · doi:10.48550/arxiv.2202.07744

This article correspond to an unpublished part of article arXiv:2101.05238

arxiv created 2022/02/15 · openalex publication_date 2022/02/15 · arxiv updated 2022/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In~\citealgorithmic was given an algorithm that computes arithmetical structures on matrices. We use some of the ideas contained there to get an algorithm that computes arithmetical structures over dominated polynomials. A dominated polynomial is an integer multivariate polynomial such that contains a monomial which is divided by all its monomials.

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