Minimal varieties of algebras of exponential growth
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Publication:4485759
DOI10.1090/S1079-6762-00-00078-0zbMath1044.16017OpenAlexW1611911252MaRDI QIDQ4485759
Antonio Giambruno, Mikhail V. Zaicev
Publication date: 18 June 2000
Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/228627
Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10)
Related Items (10)
Identities of graded algebras and codimension growth ⋮ Upper triangular matrices of graded division algebras and their identities ⋮ Asymptotics for the standard and the Capelli identities. ⋮ Asymptotics for Amitsur's Capelli-type polynomials and verbally prime PI-algebras. ⋮ Codimension growth and minimal superalgebras ⋮ The Regev conjecture and cocharacters for identities of associative algebras of PI-exponent 1 and 2. ⋮ Asymptotics for the multiplicities in the cocharacters of some PI-algebras ⋮ Burnside-type problems, theorems on height, and independence. ⋮ Regev's conjecture and codimensions of P.I. algebras. ⋮ Minimal varieties of algebras of exponential growth.
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- A characterization of algebras with polynomial growth of the codimensions
- Generic verbally prime pi-algebras and their gk-dimensions
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