Recognition of matrix rings. II

DOI10.1007/BF02785529zbMath0878.16015OpenAlexW2097290257MaRDI QIDQ677440

Geir Agnarsson, S. A. Amitsur, J. Chris Robson

Publication date: 5 January 1998

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02785529

zbMATH Keywords

\(n\) by \(n\) matrix rings over free \(k\)-algebras on \(n^ 2\) generatorsfactor rings of rings of differential operatorsfull \(n\) by \(n\) matrix ringsthree element relations

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary and skew polynomial rings and semigroup rings (16S36) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Conditions on elements (16U99)

Related Items (12)

On a special presentation of matrix algebras ⋮ Recognition of lattice-ordered matrix rings. ⋮ Simple modules and their essential extensions for skew polynomial rings ⋮ Cryptographic algorithms on groups and algebras ⋮ Lattice-ordered matrix rings over totally ordered rings. ⋮ Recognition and computations of matrix rings ⋮ Subalgebras of matrix algebras generated by companion matrices. ⋮ Presentations of matrix rings ⋮ On a Question of J. H. Meyer ⋮ Separable algebras over infinite fields are 2-generated and finitely presented. ⋮ Tensor rings under field extensions ⋮ A CHARACTERISATION OF MATRIX RINGS

Cites Work

• Unnamed Item
• Matrices, idealisers, and integer quaternions
• Recognition of matrix rings
• Representation of tiled matrix rings as full matrix rings
• Hidden Matrices
• On a class of presentations of matrix algebras
• Two element generation of a separable algebra

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