scientific article; zbMATH DE number 1217561

zbMath0915.20034MaRDI QIDQ4214899

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Publication date: 6 May 1999

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zbMATH Keywords

charactersmatrix algebrasgenerating setscomposition factorsBurnside problemmatrix representationsfinite dimensional modulesBrauer characters of semigroupsperiodic matrix semigroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Ordinary and skew polynomial rings and semigroup rings (16S36) Free semigroups, generators and relations, word problems (20M05) Representation of semigroups; actions of semigroups on sets (20M30) Rings with polynomial identity (16R99) Representation theory of associative rings and algebras (16G99)

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On \(F\)-algebras of algebraic matrices over a subfield \(F\) of the center of a division ring ⋮ Unitarily achievable zero patterns and traces of words in \(A\) and \(A\) ⋮ An upper bound for the length of a finite-dimensional algebra ⋮ Graded semisimple algebras are symmetric ⋮ Topological generation of exceptional algebraic groups ⋮ Generation of finite almost simple groups by conjugates. ⋮ Sweeping words and the length of a generic vector subspace of \(M_n(\mathbb{F})\) ⋮ Matrix Mortality and the Černý-Pin Conjecture ⋮ On irreducible semigroups of matrices with traces in a subfield ⋮ Matrix pencils and a generalized Clifford algebra ⋮ Character theory of monoids over an arbitrary field.

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