An upper bound for the length of a finite-dimensional algebra

DOI10.1006/jabr.1997.7140zbMath0888.16008OpenAlexW2063705126MaRDI QIDQ1375367

Publication date: 31 March 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7140

zbMATH Keywords

finite-dimensional algebras matrix algebras generating sets Gelfand-Kirillov dimension PI-algebras PI-degrees length of algebras semiprime affine algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Algebraic systems of matrices (15A30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

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Cites Work