Generalized Irreducible Divisor Graphs

DOI10.1080/00927872.2013.811246zbMath1312.13003arXiv1312.7406OpenAlexW2594078611MaRDI QIDQ2876293

Christopher Park Mooney

Publication date: 18 August 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7406

zbMATH Keywords

factorizationirreduciblecommutative ringszero-divisor graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Cites Work

• Generalized comaximal factorization of ideals
• Generalized U-factorization in commutative rings with zero-divisors
• On a general theory of factorization in integral domains
• Factorization in integral domains
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• Unique comaximal factorization
• Irreducible Divisor Graphs and Factorization Properties of Domains
• Irreducible Divisor Graphs
• Irreducible Divisor Graphs in Commutative Rings with Zero Divisors

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