scientific article

zbMath0646.16013MaRDI QIDQ3789721

Alexander Kemer

Publication date: 1987

Full work available at URL: https://eudml.org/doc/187405

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

zbMATH Keywords

polynomial identitiesfinite basis propertySpecht problemT-idealvariety of associative algebrasfinite bases of varietiesrings with polynomial identities

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Identities, free Lie (super)algebras (17B01) Graded rings and modules (associative rings and algebras) (16W50) Quasivarieties and varieties of groups (20E10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (27)

Specht property for the algebra of upper triangular matrices of size two with a Taft’s algebra action ⋮ On non-Spechtianness of the variety of associative rings that satisfy the identity 𝑥³²=0 ⋮ Minimal degree of identities of matrix algebras with additional structures ⋮ Groups with identities ⋮ The Wedderburn decomposition in finite-dimensional alternative superalgebras ⋮ On the join of Spechtian varieties of algebras ⋮ On almost Engel \(L\)-varieties of vector spaces ⋮ Estimates in Shirshov height theorem ⋮ Representability of reduced free algebras ⋮ Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part ⋮ Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6 ⋮ Star-fundamental algebras: polynomial identities and asymptotics ⋮ On T-spaces and related concepts and results. ⋮ Gröbner bases of ideals invariant under endomorphisms. ⋮ Witnessing matrix identities and proof complexity ⋮ ℤ2-graded identities of the Grassmann algebra over a finite field ⋮ T-spaces in associative algebras. ⋮ On polynomial identities in nil-algebras. ⋮ On Specht varieties of right alternative algebras ⋮ Combinatorial generators of the multilinear polynomial identities. ⋮ Limit T-spaces. ⋮ T-spaces and their applications. ⋮ On some extremal varieties of associative algebras. ⋮ On PI-algebras with additional structures: rationality of Hilbert series and Specht's problem ⋮ Polynomial identities in nil-algebras ⋮ On regular 𝐺-gradings ⋮ Low-dimensional commutative power-associative superalgebras

This page was built for publication: