Recognition of matrix rings

DOI10.1080/00927879108824248zbMath0731.16018OpenAlexW4240041921MaRDI QIDQ3356473

J. Chris Robson

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824248

zbMATH Keywords

relationsgeneratorsquaternionsfree k-algebrafull 2 by 2 matrix ringring of n by n matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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 (15)

On a special presentation of matrix algebras ⋮ Recognition of lattice-ordered matrix rings. ⋮ A multiplicative dual of nil-clean rings ⋮ Cryptographic algorithms on groups and algebras ⋮ On a characterization of complete matrix rings ⋮ A link between two characterisations of complete matrix rings ⋮ Recognition and computations of matrix rings ⋮ Recognition of matrix rings. II ⋮ UNIQUELY MORPHIC RINGS ⋮ Matrices, idealisers, and integer quaternions ⋮ Subalgebras of matrix algebras generated by companion matrices. ⋮ On derivations, biderivations and superbiderivations of quaternion rings ⋮ Matrix rings satisfying column sum conditions versus structural matrix rings ⋮ Separable algebras over infinite fields are 2-generated and finitely presented. ⋮ A CHARACTERISATION OF MATRIX RINGS

Cites Work

• Representation of tiled matrix rings as full matrix rings

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