Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power()

We characterize the fixed divisor of a polynomial [Formula: see text] in [Formula: see text] by looking at the contraction of the powers of the maximal ideals of the overring [Formula: see text] containing [Formula: see text]. Given a prime p and a positive integer n, we also obtain a complete descr...

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Autor principal: Peruginelli, Giulio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Science 2014
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4986407/
https://www.ncbi.nlm.nih.gov/pubmed/27570257
http://dx.doi.org/10.1016/j.jalgebra.2013.09.016
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author Peruginelli, Giulio
author_facet Peruginelli, Giulio
author_sort Peruginelli, Giulio
collection PubMed
description We characterize the fixed divisor of a polynomial [Formula: see text] in [Formula: see text] by looking at the contraction of the powers of the maximal ideals of the overring [Formula: see text] containing [Formula: see text]. Given a prime p and a positive integer n, we also obtain a complete description of the ideal of polynomials in [Formula: see text] whose fixed divisor is divisible by [Formula: see text] in terms of its primary components.
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spelling pubmed-49864072016-08-25 Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power() Peruginelli, Giulio J Algebra Article We characterize the fixed divisor of a polynomial [Formula: see text] in [Formula: see text] by looking at the contraction of the powers of the maximal ideals of the overring [Formula: see text] containing [Formula: see text]. Given a prime p and a positive integer n, we also obtain a complete description of the ideal of polynomials in [Formula: see text] whose fixed divisor is divisible by [Formula: see text] in terms of its primary components. Elsevier Science 2014-01-15 /pmc/articles/PMC4986407/ /pubmed/27570257 http://dx.doi.org/10.1016/j.jalgebra.2013.09.016 Text en © 2013 The Authors https://creativecommons.org/licenses/by/3.0/This is an open access article under the CC BY license (https://creativecommons.org/licenses/by/3.0/).
spellingShingle Article
Peruginelli, Giulio
Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power()
title Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power()
title_full Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power()
title_fullStr Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power()
title_full_unstemmed Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power()
title_short Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power()
title_sort primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power()
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4986407/
https://www.ncbi.nlm.nih.gov/pubmed/27570257
http://dx.doi.org/10.1016/j.jalgebra.2013.09.016
work_keys_str_mv AT peruginelligiulio primarydecompositionoftheidealofpolynomialswhosefixeddivisorisdivisiblebyaprimepower

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