On the dimension of faithful modules over finite dimensional basic algebras

DOI10.1016/S0024-3795(02)00399-3zbMath1022.16013MaRDI QIDQ1874296

Matyas Domokos

Publication date: 25 May 2003

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

zbMATH Keywords

finite-dimensional algebrascommuting matricespolynomial identitiesfaithful modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Representations of associative Artinian rings (16G10)

Related Items (4)

Lie solvability and the identity \([x_{1},y_{1}[x_{2},y_{2}]\cdots[x_{q},y_{q}]=0\) in certain matrix algebras] ⋮ Maximal commutative subalgebras of Leavitt path algebras ⋮ Lie solvability in matrix algebras ⋮ The maximum dimension of a Lie nilpotent subalgebra of $\boldsymbol {\mathbb {M}_n(F)}$ of index $\boldsymbol {m}$

Cites Work

• Unnamed Item
• On maximal commutative algebras of linear transformations
• Generalized polynomial identities and rings which are sums of two subrings
• A Short Note on the Schur-Jacobson Theorem
• Schur’s theorems on commutative matrices

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