Codimensions of products and of intersections of verbally prime T-ideals

DOI10.1007/BF02762265zbMath0919.16017MaRDI QIDQ1279624

Amitai Regev, Allan Berele

Publication date: 5 July 1999

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

PI algebrascodimension sequencescocharactersgrowth of codimensionsverbally prime T-ideals

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (25)

Block-triangular matrix algebras and factorable ideals of graded polynomial identities. ⋮ Algebraic properties of codimension series of PI-algebras. ⋮ Unnamed Item ⋮ Bounds on colength and maximal multiplicity sequences. ⋮ Star-fundamental algebras: polynomial identities and asymptotics ⋮ Asymptotics for the standard and the Capelli identities. ⋮ Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities ⋮ COCHARACTERS OF POLYNOMIAL IDENTITIES OF UPPER TRIANGULAR MATRICES ⋮ The GK dimension of relatively free algebras of PI-algebras ⋮ Eventual arm and leg widths in cocharacters of P. I. Algebras ⋮ Exact asymptotic behaviour of the codimensions of some P.I. algebras ⋮ The polynomial part of the codimension growth of affine PI algebras ⋮ On applying the Littlewood-Richardson rule. ⋮ Approximate values of the multiplicities in the arm of the cocharacter sequence of \(M_{2,1}\). ⋮ Asymptotic growth of codimensions of identities of associative algebras. ⋮ Exponential growth for codimensions of some p. i. algebras ⋮ An Example Concerning the Constant in the Asymptotics of Codimension Sequences ⋮ Codimension growth and minimal superalgebras ⋮ Asymptotics for the multiplicities in the cocharacters of some PI-algebras ⋮ Ordinary and ℤ₂-Graded Cocharacters ofUT₂(E) ⋮ Minimal varieties of algebras of exponential growth ⋮ A Leibniz variety with almost polynomial growth ⋮ A characterization of P. I. algebras with bounded multiplicities of the cocharacters ⋮ Minimal varieties of algebras of exponential growth. ⋮ Cocharacters of polynomial identities of block triangular matrices

Cites Work

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• Applications of hook Young diagrams to P.I. algebras
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• The representations of \(S_n\) and explicit identities for P. I. algebras
• T-ideals with power growth of the codimensions are Specht
• Asymptotic estimates using probability
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• On the codimensions of the verbally prime P.I. algebras
• Existence of identities in \(A \otimes B\)
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• On proper codimensions ofT-ideals
• Sign trace identities
• The Polynomial Identities of the Grassman Algebra

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