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Domains with invertible-radical factorization

Malik Tusif Ahmed|Tiberiu Dumitrescu
대한수학회 (The Korean Mathematical Society)|2018.05|대한수학회보 (Bulletin of the KMS)|제55권 제3호|pp. 809-818

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키워드

Pr\"ufer domainZPUI-domainSP-domain
주제분류수학

초록

We study those integral domains in which every proper ideal can be written as an invertible ideal multiplied by a nonempty product of proper radical ideals.

Abstract

We study those integral domains in which every proper ideal can be written as an invertible ideal multiplied by a nonempty product of proper radical ideals.

참고문헌 (16)

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  12. B. Olberding, "Factorization into radical ideals, in Arithmetical properties of commutative rings and monoids, Lect. Notes Pure Appl. Math., 241", pp.2005, Chapman & Hall
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관련 논문AI추천

ON ALMOST FACTORIALITY OF INTEGRAL DOMAINS임정욱장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호Trace Properties and Integral Domains, IIIAbdeslam Mimouni, Thomas G. Lucas대한수학회 · 대한수학회보2022 · 제59권 제2호A characterization of factorial ringsDe Chuan Zhou, Kui Hu대한수학회 · 대한수학회보2025 · 제62권 제1호Remarks on locally half-factorial domains윤석룡강원경기수학회 · 한국수학논문집2010 · 제18권 제4호Factorization in modules and splitting multiplicatively closed subsetsAshkan Nikseresht대한수학회 · 대한수학회지2018 · 제55권 제1호Some factorization properties of idealization in commutative rings with zero divisorsMahdi Reza Khorsandi, Sayyed Heidar Jafari, Sina Eftekhari대한수학회 · 대한수학회보2024 · 제61권 제2호

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