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Unique factorization of ideals in commutative rings with zero divisors

Published:2021-01-06 Issue:5 Volume:49 Page:2101-2125
ISSN:0092-7872
Container-title:Communications in Algebra
language:en
Short-container-title:Communications in Algebra

Author:

Juett J. R.¹,Mooney Christopher Park²,Ndungu Lois W.³

Affiliation:

1. Department of Computer Studies and Mathematics, University of Dubuque, Dubuque, IA

2. Department of Mathematics, Statistics, and Computer Science, University of Wisconsin-Stout, Menomonie, WI

3. Department of Curriculum and Instruction, Texas State University, San Marcos, TX

Publisher

Informa UK Limited

Subject

Algebra and Number Theory

Link

https://www.tandfonline.com/doi/pdf/10.1080/00927872.2020.1864390

Reference59 articles.

1. Multiplication Ideals, Multiplication Rings, and the Ring R(X)

2. π-domains, overrings, and divisorial ideals

3. Globalization of some local properties in Krull domains

4. Commutative group rings that are présimplifiable or domainlike

5. Divisibility Properties of Graded Domains

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Regular t-ideals of polynomial rings and semigroup rings with zero divisors;Journal of Pure and Applied Algebra;2024-09

2. Ideal factoriality, semistar operations, and quasiprincipal Ideals;Communications in Algebra;2024-04-14

3. PRIME FACTORIZATION OF IDEALS IN COMMUTATIVE RINGS, WITH A FOCUS ON KRULL RINGS;J KOREAN MATH SOC;2023

4. Invertibility, Semistar Operations, and the Ring of Finite Fractions;Algebraic, Number Theoretic, and Topological Aspects of Ring Theory;2023

5. General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings;Communications in Algebra;2022-09-29

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