Some Results on Factorization in Integral Domains

DOI10.1080/00927872.2014.903406zbMath1321.13010OpenAlexW1976412027MaRDI QIDQ5256756

Jack Robert Bennett, David E. Rush

Publication date: 19 June 2015

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

Full work available at URL: https://escholarship.org/uc/item/0t10h6q5

zbMATH Keywords

polynomial ringsquadratic ordersatomic domainsinside factorial domainroot extensionalmost Schreier domain

Mathematics Subject Classification ID

Quadratic extensions (11R11) Integral closure of commutative rings and ideals (13B22) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Graded rings (13A02) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• Almost Schreier monoids.
• A general theory of almost factoriality
• Divisorial ideals and invertible ideals in a graded integral domain
• Irreducible divisors in domains of finite character
• When graded domains are Schreier or pre-Schreier
• Inside factorial monoids and integral domains
• Almost-Schreier Domains
• Root Extensions and Factorization in Affine Domains
• On a property of pre-schreier domains
• Divisibility Properties of Graded Domains

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