The length function and matrix algebras

DOI10.1007/s10958-013-1495-2zbMath1283.15056OpenAlexW2095407311MaRDI QIDQ2637882

O. V. Markova

Publication date: 17 February 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1495-2

zbMATH Keywords

Jacobson radicalSchur algebraquotient algebralocal algebracommutative algebranilpotency indexfinite-dimensional associative algebrafinite system of generatorsCourter's algebralength of the algebra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Algebraic systems of matrices (15A30)

Related Items (13)

The effect of assuming the identity as a generator on the length of the matrix algebra ⋮ Lengths of quasi-commutative pairs of matrices ⋮ Generating systems of the full matrix algebra that contain nonderogatory matrices ⋮ On the length of the group algebra of the dihedral group in the semi-simple case ⋮ On the lengths of group algebras of finite abelian groups in the semi-simple case ⋮ An example of length computation for a group algebra of a noncyclic abelian group in the modular case ⋮ Values of the length function for nonassociative algebras ⋮ A resolution of Paz's conjecture in the presence of a nonderogatory matrix ⋮ IRREDUCIBLE FAMILIES OF COMPLEX MATRICES CONTAINING A RANK-ONE MATRIX ⋮ Lengths of cyclic algebras and commutative subalgebras of quaternion matrices ⋮ THE SLOT LENGTH OF A FAMILY OF MATRICES ⋮ On the lengths of group algebras of finite abelian groups in the modular case ⋮ Algebras of slowly growing length

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