Matrix fields over the integers modulo m

DOI10.1016/0024-3795(76)90016-1zbMath0391.16014OpenAlexW2064222038MaRDI QIDQ1251267

Jacob T. B. jun. Beard, Robert M. McConnel

Publication date: 1976

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10106/2179

zbMATH Keywords

Finite RingsMatrix RingsSub-Division Rings of a Ring with Unit

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Finite fields and commutative rings (number-theoretic aspects) (11T99) Conditions on elements (16U99) Division rings and semisimple Artin rings (16Kxx)

Related Items (4)

Matrix fields, regular and irregular: A complete fundamental characterization ⋮ Similarity overF[x] ⋮ A note on subfields of matrix rings ⋮ Report on the Dublin Matrix Theory Conference, March 1984

Cites Work

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• Diagonability of idempotent matrices
• Certain matrix equations over rings of integers
• Matrix fields over prime fields
• Matrix fields over finite extensions of prime fields
• The number of matrix fields over GF(q)
• A rational canonical form for matrix fields

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