Asymptotics for the multiplicities in the cocharacters of some PI-algebras
From MaRDI portal
Publication:4441775
DOI10.1090/S0002-9939-03-07093-XzbMath1041.16015OpenAlexW2133049736MaRDI QIDQ4441775
Antonio Giambruno, Francesca Saviella Benanti, I. Yu. Sviridova
Publication date: 7 January 2004
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07093-x
Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10)
Related Items
Growth of differential identities ⋮ Differential identities, \(2 \times 2\) upper triangular matrices and varieties of almost polynomial growth ⋮ Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth. ⋮ Maximal multiplicities in cocharacter sequences. ⋮ Finitely Generated PI-Superalgebras with Bounded Multiplicities of the Cocharacters
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computing with 2\(\times 2\) matrices
- Codimensions and trace codimensions of matrices are asymptotically equal
- Invariants and the ring of generic matrices
- Codimensions of T-ideals and Hilbert series of relatively free algebras
- Applications of hook Young diagrams to P.I. algebras
- Codimensions of products and of intersections of verbally prime T-ideals
- On codimension growth of finitely generated associative algebras
- Exponential codimension growth of PI algebras: an exact estimate
- A characterization of P. I. algebras with bounded multiplicities of the cocharacters
- Minimal varieties of algebras of exponential growth.
- On the codimensions of the verbally prime P.I. algebras
- Existence of identities in \(A \otimes B\)
- Minimal varieties of algebras of exponential growth
- The Polynomial Identities of the Grassman Algebra