Unique factorization rings with zero divisors

DOI10.1080/00927879908826543zbMath0947.13013OpenAlexW2013834270MaRDI QIDQ4238132

Silvia Valdes-Leon, A. Göksel Ağargün, Daniel D. Anderson

Publication date: 1 November 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826543

zbMATH Keywords

unique factorization domainzero divisorweak unique factorization ring

Mathematics Subject Classification ID

Principal ideal rings (13F10) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items

On Generalizations of Prime Ideals, On \(S\)-weakly prime ideals of commutative rings, Generalized comaximal factorization of ideals, Rings in which every nonzero weakly prime ideal is prime, Algebraic properties of expectation semirings, On \(\phi\)-2-absorbing primary submodules, Weakly prime ideals issued from an amalgamated algebra, Unnamed Item, When are associates unit multiples?, Unique factorization properties in commutative monoid rings with zero divisors, Unnamed Item, Generalizations of Prime Ideals, New developments in the theory of Gröbner bases and applications to formal verification, Reduced Factorizations in Commutative Rings with Zero Divisors, Unique factorization in polynomial rings with zero divisors, Factorization and irreducibility in modules, A GENERALIZATION OF THE PRIME RADICAL OF IDEALS IN COMMUTATIVE RINGS, On Generalizations of Prime Ideals (II), SOME REMARKS ON GENERALIZATIONS OF MULTIPLICATIVELY CLOSED SUBSETS, ON (n -1; n)-phi-m-PRIME AND (n -1; n)-WEAKLY PRIME SUBMODULES

Cites Work

• Factorization in commutative rings with zero divisors
• Unique Factorization Rings with Zero Divisors