R n Contains a Division Ring iff R Does

DOI10.2307/2323892zbMath0806.16029OpenAlexW176870443MaRDI QIDQ4279865

Ayman Badawi

Publication date: 13 February 1995

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2323892

zbMATH Keywords

division ringidempotent matrixdiagonalizable

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Infinite-dimensional and general division rings (16K40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21) Units, groups of units (associative rings and algebras) (16U60)

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