On the content of polynomials over semirings and its applications

DOI10.1142/S0219498816500882zbMath1411.16042arXiv1208.5637MaRDI QIDQ2801833

Peyman Nasehpour

Publication date: 22 April 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5637

zbMATH Keywords

bounded distributive latticeGauss' lemmaDedekind-Mertens lemmaGaussian semiringMcCoy's property

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Semirings (16Y60)

Related Items (7)

On 2-absorbing ideals of commutative semirings ⋮ Algebraic properties of expectation semirings ⋮ The Ohm–Rush content function II. Noetherian rings, valuation domains, and base change ⋮ Valuation semirings ⋮ On zero-divisors of semimodules and semialgebras ⋮ Eversible and reversible semigroups and semirings ⋮ Some remarks on semirings and their ideals

Cites Work

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• A Dedekind-Mertens theorem for power series rings
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• Content Algebras
• The Dedekind-Mertens formula and determinantal rings
• The Dedekind-Mertens Lemma and the contents of polynomials
• Overrings of Commutative Rings. II. Integrally Closed Overrings
• On the Contents of Polynomials
• Content Modules and Algebras.
• Remarks on Divisors of Zero

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