On some Euclidean properties of matrix algebras

DOI10.1016/j.jalgebra.2017.05.018zbMath1386.13055OpenAlexW2290945508MaRDI QIDQ2362576

Pierre Lezowski

Publication date: 10 July 2017

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.05.018

zbMATH Keywords

algorithmringsprincipal idealEuclidean ringsBézout ringelementary divisor ringEuclidean2-stage\(K\)-Hermite ringdivision chains

Mathematics Subject Classification ID

Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Euclidean rings and generalizations (13F07)

Related Items (3)

Pseudo-linear algebra over a division ring ⋮ Decomposition of singular elements of an algebra into product of idempotents, a survey ⋮ On the divisibility of matrices with remainder over the domain of principal ideals

Cites Work

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• Some Remarks About Elementary Divisor Rings
• A weakening of the euclidean property for integral domains and applications to algebraic number theory. I.
• Euclidean Rings
• Elementary Divisors and Modules

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