Some Remarks About Elementary Divisor Rings

DOI10.2307/1993053zbMath0073.02203OpenAlexW4232994767MaRDI QIDQ3236720

Leonard Gillman, Melvin Henriksen

Publication date: 1956

Full work available at URL: https://doi.org/10.2307/1993053

zbMATH Keywords

LatticesRingsFields

Related Items

On some Euclidean properties of matrix algebras, Unnamed Item, Bezout rings of stable range 1.5, Noncommutative Unique Factorization Domains, On serial rings, Commutative domains of elementary divisors and some properties of their elements, Commutative Bézout domains of stable range 1.5, Unnamed Item, Elementary Divisor Rings and Finitely Presented Modules, About weakly Bézout rings, Elementary divisor domains and Bézout domains, On Henriksen rings, Generalized adequate rings, Bézout rings with almost stable range 1, Arithmetical rings, Diagonal matrix reduction over Hermite rings, Bezout rings without non-central idempotents, Assignable polynomials to linear systems over von Neumann regular rings, Cyclic accessibility of reachable states characterizes von Neumann regular rings, Similarity to a triangular form, Unnamed Item, Units and One-Sided Units in Regular Rings, Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal, Elementary matrix reduction over Bézout domains, Modules over Semihereditary Bezout Rings, Equivalent generating vectors of finitely generated modules over commutative rings, On a class of regular rings that are elementary divisor rings, The Kaplansky condition and rings of almost stable range 1, Two classes of rings generated by their units, A formalization of the Smith normal form in higher-order logic

Cites Work

• Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
• On Regular Rings
• Topological Representation of Algebras
• Elementary Divisors and Modules
• The elementary divisor theorem for certain rings without chain condition