On some properties of the length function.
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Publication:1957015
DOI10.1134/S0001434610010098zbMath1229.16015MaRDI QIDQ1957015
Publication date: 24 September 2010
Published in: Mathematical Notes (Search for Journal in Brave)
Jacobson radicalsubalgebrasalgebras over fieldslength functionsfinitely generated algebrasBirkhoff theoremquotient algebrasdirect sums of algebras
Finite rings and finite-dimensional associative algebras (16P10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15)
Related Items (6)
The lengths of matrix incidence algebras over small finite fields ⋮ The length function and matrix algebras ⋮ Description of algebras of length 1. ⋮ Classification of matrix subalgebras of length 1. ⋮ On the lengths of matrix incidence algebras with radicals of square zero ⋮ On the relationship between the length of an algebra and the index of nilpotency of its Jacobson radical.
Cites Work
- The theory of matrix polynomials and its application to the mechanics of isotropic continua
- Further results in the theory of matrix polynomials
- Commutative matrix subalgebras and length function
- An upper bound for the length of a finite-dimensional algebra
- An application of the Cayley-Hamilton theorem to matrix polynomials in several variables
- On the length of the algebra of upper-triangular matrices
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