A Theorem of Burnside on Matrix Rings

DOI10.2307/2589248zbMath0913.15011OpenAlexW4237292809MaRDI QIDQ4222453

Tsit-Yuen Lam

Publication date: 31 May 1999

Full work available at URL: https://doi.org/10.2307/2589248

zbMATH Keywords

matrix ringsBurnside's theoremJFM 36.0199.01

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30)

Related Items (14)

On the number of generators of an algebra over a commutative ring ⋮ The geometric Bogomolov conjecture ⋮ Extensions of the Tong-Yang-Ma representation ⋮ Multiplicity and indiscernibility ⋮ Spaces of generators for matrix algebras with involution ⋮ On irreducible algebras spanned by triangularizable matrices ⋮ A resolution of Paz's conjecture in the presence of a nonderogatory matrix ⋮ On the commensurability of hyperbolic Coxeter groups ⋮ On real algebras generated by positive and nonnegative matrices ⋮ Theorems of Burnside and Wedderburn revisited ⋮ On the codimension of subalgebras of the algebra of matrices over a field ⋮ Strongly Gorenstein projective, injective and flat modules. ⋮ On irreducible and transitive subalgebras in matrix algebras ⋮ The simplest proof of Burnside's theorem on matrix algebras

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