On the Subatomicity of Polynomial Semidomains

DOI10.1007/978-3-031-28847-0_13zbMath1530.16048arXiv2306.01373OpenAlexW4383568141MaRDI QIDQ6190900

Harold Polo, Felix Gotti

Publication date: 6 February 2024

Published in: Algebraic, Number Theoretic, and Topological Aspects of Ring Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.01373

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Semirings (16Y60) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Arithmetic theory of semigroups (20M13)

Cites Work

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• Polynomial extensions of atomic domains
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• On the Graph of Divisibility of an Integral Domain
• The Euclidean Criterion for Irreducibles
• On integral domains with no atoms
• Factorizations in evaluation monoids of Laurent semirings
• On the atomic structure of exponential Puiseux monoids and semirings
• Factorization invariants of Puiseux monoids generated by geometric sequences
• On domains with properties weaker than atomicity

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