Associate elements in commutative rings

DOI10.1216/RMJ-2014-44-3-717zbMath1302.13001OpenAlexW2019173470MaRDI QIDQ457932

Sangmin Chun, Daniel D. Anderson

Publication date: 30 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1411945660

zbMATH Keywords

associate elementspresimplifiable ringsstrongly associate ringsstrongly regular associates

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05)

Related Items

Annihilating content polynomials and EM-rings, On a theorem of Anderson and Chun, Bounded Factorization and the Ascending Chain Condition on Principal Ideals in Generalized Power Series Rings, Unnamed Item, Unique factorization in polynomial rings with zero divisors, Associates, irreducibility, and factorization length in monoid rings with zero divisors, Finite factorization properties in commutative monoid rings with zero divisors, Amalgamated algebras which are présimplifiable or domainlike

Cites Work

• Idealization of a module
• When are associates unit multiples?
• Factorization in commutative rings with zero divisors
• Elementary Divisors and Modules
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