Codimensions of algebras and growth functions
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Publication:2469879
DOI10.1016/j.aim.2007.07.008zbMath1133.17001OpenAlexW2029365524MaRDI QIDQ2469879
Publication date: 11 February 2008
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10447/1984
Growth rate, Gelfand-Kirillov dimension (16P90) Identities, free Lie (super)algebras (17B01) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Free nonassociative algebras (17A50) General theory of nonassociative rings and algebras (17A01)
Related Items (57)
Codimension sequences and their asymptotic behavior ⋮ Central polynomials of algebras and their growth ⋮ Numerical Invariants of Identities of Unital Algebras ⋮ Anomalies on codimension growth of algebras. ⋮ Polynomial codimension growth and the Specht problem ⋮ Codimension growth of two-dimensional non-associative algebras ⋮ Almost nilpotent varieties with non-integer exponents do exist ⋮ Exponential growth of codimensions of identities of algebras with unity ⋮ Algebras with intermediate growth of the codimensions. ⋮ Polynomial identities and algebraic combinatorics on words ⋮ Codimension and colength sequences of algebras and growth phenomena ⋮ Multialternating Jordan polynomials and codimension growth of matrix algebras ⋮ ℤ2-graded codimensions of unital algebras ⋮ Growth for algebras satisfying polynomial identities. ⋮ Almost nilpotent varieties with non-integer exponents do exist ⋮ Nilpotent varieties and metabelian varieties ⋮ Identities on algebras and combinatorial properties of binary words ⋮ The theory of formal languages and identities of nonassociative algebras ⋮ Asymptotic behavior in Lie nilpotent relatively free algebras and extended Grassmann algebras ⋮ Scale for codimension growth of Poisson PI-algebras ⋮ Sturmian words and overexponential codimension growth ⋮ Многообразия с дробным полиномиальным ростом и проблема Шпехта ⋮ Identities of graded simple algebras ⋮ The asymptotic approach to the description of the center of a relatively free Lie-nilpotent algebra ⋮ Schreier's type formulae and two scales for growth of Lie algebras and groups ⋮ Correspondence between some metabelian varieties and left nilpotent varieties ⋮ On growth of varieties of commutative linear algebras ⋮ Infinite periodic words and almost nilpotent varieties ⋮ Identities for Lie superalgebras with a nilpotent commutator subalgebra ⋮ On almost nilpotent varieties of subexponential growth ⋮ On the additive structure and asymptotics of codimensions \(c_n\) in the algebra \(F^{(5)}\) ⋮ Asymptotics of the codimensions \(c_n\) in the algebra \(F^{(7)}\) ⋮ Codimension growth of special simple Jordan algebras ⋮ On the codimension growth of 𝐺-graded algebras ⋮ Identities of unitary finite-dimensional algebras. ⋮ Group graded PI-algebras and their codimension growth. ⋮ Finite-dimensional non-associative algebras and codimension growth ⋮ On the measure of inclusion in relatively free algebras with the identity of Lie nilpotency of degree 3 or 4 ⋮ Combinatorics on binary words and codimensions of identities in left nilpotent algebras ⋮ Semigroup graded algebras and graded PI-exponent ⋮ An almost nilpotent variety of exponent 2 ⋮ Degrees of irreducible characters of the symmetric group and exponential growth ⋮ Graded polynomial identities and codimensions: computing the exponential growth. ⋮ Iterative algebras. ⋮ A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras ⋮ New example of a variety of Lie algebras with fractional exponent ⋮ Colength growth functions of nonassociative algebras ⋮ Codimension growth of algebras with adjoint unit ⋮ Graded polynomial identities and exponential growth ⋮ Lie, Jordan and proper codimensions of associative algebras. ⋮ On H-simple not necessarily associative algebras ⋮ ЧИСЛОВЫЕ ХАРАКТЕРИСТИКИ АЛГЕБР ЛЕЙБНИЦА-ПУАССОНА ⋮ Growth of polynomial identities: is the sequence of codimensions eventually non-decreasing? ⋮ Truncation of unitary operads ⋮ On identities of infinite dimensional Lie superalgebras ⋮ On existence of PI-exponent of algebras with involution ⋮ A four-dimensional simple algebra with fractional PI-exponent
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