Matrices, idealisers, and integer quaternions

DOI10.1016/S0021-8693(05)80048-1zbMath0798.16016MaRDI QIDQ1194192

A. W. Chatters

Publication date: 27 September 1992

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

zbMATH Keywords

idealizersfull \((2,2)\)-matrix ringsring of quaternions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite-dimensional division rings (16K20)

Related Items (11)

On a special presentation of matrix algebras ⋮ Non-isomorphic rings with isomorphic matrix rings ⋮ Cryptographic algorithms on groups and algebras ⋮ Isomorphic subrings of matrix rings over the integer quaternions ⋮ Separative cancellation and multiple isomorphism in torsion-free Abelian groups ⋮ Recognition and computations of matrix rings ⋮ Recognition of matrix rings. II ⋮ Subalgebras of matrix algebras generated by companion matrices. ⋮ Matrix rings satisfying column sum conditions versus structural matrix rings ⋮ Rings which are nearly principal ideal domains ⋮ A CHARACTERISATION OF MATRIX RINGS

Cites Work

• Idealizers and hereditary Noetherian prime rings
• Recognition of matrix rings
• Representation of tiled matrix rings as full matrix rings
• Hidden Matrices

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