Normal bases of PI-algebras.

DOI10.1016/j.aam.2005.08.006zbMath1112.16025OpenAlexW2047859573MaRDI QIDQ863320

Uzi Vishne, Alexei Kanel-Belov, Louis Halle Rowen

Publication date: 26 January 2007

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2005.08.006

zbMATH Keywords

Gröbner basesrepresentabilitynormal basesmatrix algebrasT-idealsGelfand-Kirillov dimensionmonomial algebrasisomorphism problemShirshov height theoremalgebras with polynomial identity

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities other than those of matrices over commutative rings (16R40) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items (1)

Full quivers of representations of algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Codimensions and trace codimensions of matrices are asymptotically equal
• Invariants and the ring of generic matrices
• On a question concerning generic matrices over the integers
• Representability of reduced free algebras
• The decision problem for exponential diophantine equations
• Monomial algebras
• Generic \(2\times 2\) matrices in positive characteristic
• Identities of associative algebras
• A Matrix Representation for Associative Algebras. II
• IDENTITIES OF FINITELY GENERATED ALGEBRAS OVER AN INFINITE FIELD
• MULTILINEAR IDENTITIES OF THE ALGEBRAS OVER A FIELD OF CHARACTERISTIC P
• Elementary Divisors and Modules

This page was built for publication: Normal bases of PI-algebras.