Unique Factorization Domains
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Publication:5670706
DOI10.2307/2319253zbMath0256.13011OpenAlexW4245267901MaRDI QIDQ5670706
Publication date: 1973
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2319253
Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Integral domains (associative rings and algebras) (16U10)
Related Items (24)
Right unique factorization domains ⋮ The Euclidean Criterion for Irreducibles ⋮ Factorization of elements in noncommutative rings, II ⋮ A factorization algorithm for \(G\)-algebras and its applications ⋮ Unique factorization of matrices and Towber rings ⋮ Semirigid GCD domains II ⋮ CLASSIFYING PROJECTIVE MODULES OVER SOME SEMILOCAL RINGS ⋮ A characterisation of atomicity ⋮ Rings with the right atomic multiple property ⋮ A note on trigonometric identities ⋮ On the Ascent of Accp to Simple Overrings ⋮ Cramer’s rule over residue class rings of Bézout domains ⋮ Factorization in integral domains. II ⋮ When graded domains are Schreier or pre-Schreier ⋮ Progress in free associative algebras ⋮ Quadratic polynomials, factorization in integral domains and Schreier domains from pullbacks ⋮ Unique factorization properties in commutative monoid rings with zero divisors ⋮ The construction \(D+XD_s[X\)] ⋮ Convex polytopes and factorization properties in generalized power series domains ⋮ Factorization in Dedekind domains with finite class group ⋮ Factorizations of Elements in Noncommutative Rings: A Survey ⋮ Integral ∨-ideals ⋮ On the Ascent of Properties Related to Unique Factorization Domains ⋮ Factorization in integral domains
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