scientific article

zbMath0732.16001MaRDI QIDQ4000003

Alexander Kemer

Publication date: 18 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

superalgebrasPI-algebrasprime varietiesvarieties of associative algebrasrelatively free algebraSpecht problemfinite bases of identitiesexponential growth of codimensionsprime T-idealsrepresentable by matricesvarieties of \({\mathbb{Z}}_ 2\)-graded algebras

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) ``Super (or ``skew) structure (16W55) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02) Rings with polynomial identity (16Rxx)

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\(\mathbb{Z}\)-gradings of full support on the Grassmann algebra ⋮ On the factorization of \(T_G\)-ideals of graded matrix algebras ⋮ Growth for algebras satisfying polynomial identities. ⋮ Matrix representations of finitely generated Grassmann algebras and some consequences. ⋮ Jordan algebras of a degenerate bilinear form: Specht property and their identities ⋮ Graded identities with involution for the algebra of upper triangular matrices ⋮ Identities with involutions on incidence algebras ⋮ Graded identities and central polynomials for the verbally prime algebras ⋮ Polynomial identities with involution, superinvolutions and the Grassmann envelope ⋮ Star-fundamental algebras: polynomial identities and asymptotics ⋮ The Grassmann algebra over arbitrary rings and minus sign in arbitrary characteristic ⋮ New determinants and the Cayley-Hamilton Theorem for matrices over Lie nilpotent rings ⋮ Central polynomials of associative algebras and their growth ⋮ Weak polynomial identities and their applications ⋮ On the codimension growth of 𝐺-graded algebras ⋮ On the identities of the Grassmann algebras in characteristic \(p>0\) ⋮ Graded identities for T-prime algebras over fields of positive characteristic ⋮ Codimension growth and minimal superalgebras ⋮ Algebra of generic matrices is not coherent ⋮ Asymptotics for the multiplicities in the cocharacters of some PI-algebras ⋮ On pro-2 identities of 2×2 linear groups ⋮ The maximum dimension of a Lie nilpotent subalgebra of $\boldsymbol {\mathbb {M}_n(F)}$ of index $\boldsymbol {m}$ ⋮ Understanding star-fundamental algebras ⋮ Multialternating graded polynomials and growth of polynomial identities ⋮ Minimal varieties of algebras of exponential growth ⋮ \(\mathbb{Z}_{k+l}\times\mathbb{Z}_2\)-graded polynomial identities for \(M_{k,l}(E)\otimes E\). ⋮ On identities of infinite dimensional Lie superalgebras ⋮ Growth of central polynomials of algebras with involution ⋮ A characterization of algebras with polynomial growth of the codimensions

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