Distributive elementary divisor domains

DOI10.1007/BF01062100zbMath0718.16025MaRDI QIDQ2639140

Mykola Ya. Komarnytskyy, B. V. Zabavs'kyj

Publication date: 1990

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Jacobson radicalelementary divisor ringdiagonal reductionmaximal right idealdistributive Bezout domaindistributive right-ideal-latticeduo-domainduo-ringED-domainED-ring

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Divisibility, noncommutative UFDs (16U30) Canonical forms, reductions, classification (15A21) Universal enveloping algebras of Lie algebras (16S30)

Related Items (4)

Finite homomorphic images of Bezout duo-domains ⋮ Elementary matrix reduction over Bézout domains ⋮ A Bezout ring of stable range 2 which has square stable range 1 ⋮ Rings with the Kazimirsky condition and rings with projective socle

Cites Work

• Unnamed Item
• Some remarks on elementary divisor rings. II
• On bézout domains, elementary divisor rings, and pole assignability
• Bezout Domains and Rings with a Distributive Lattice of Right Ideals
• Noncommutative Unique Factorization Domains
• A Note on Weak Bezout Rings
• Elementary Divisors and Modules

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