Remarks on the prime varieties

DOI10.1007/BF02937310zbMath0874.16016OpenAlexW2006097508MaRDI QIDQ677415

Alexander Kemer

Publication date: 25 September 1997

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

Full work available at URL: https://doi.org/10.1007/bf02937310

zbMATH Keywords

multilinear identitiestrace identitiespolynomial identitiesprime varietiesalgebras with tracegroup algebras of symmetric groupsprime \(T\)-idealsregular \(T\)-prime \(T\)-ideals

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Trace rings and invariant theory (associative rings and algebras) (16R30) Ideals in associative algebras (16D25) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (14)

Graded identities of \(M_n(E)\) and their generalizations over infinite fields ⋮ Graded identities for algebras with elementary gradings over an infinite field ⋮ Almost permutative varieties of associative algebras over an infinite field. ⋮ On multilinear components of prime subvarieties in the variety \(\mathrm{Var}(M_{1,1})\). ⋮ On matrix types of prime varieties of associative algebras. ⋮ A characterization of the natural grading of the Grassmann algebra and its non-homogeneous \(\mathbb{Z}_2\)-gradings ⋮ The unitary closure property of the prime varieties of associative algebras. ⋮ ℤ2 and ℤ-graded central polynomials of the Grassmann algebra ⋮ ℤ₂-Graded Gelfand–Kirillov dimension of the Grassmann algebra ⋮ On the identities of the Grassmann algebras in characteristic \(p>0\) ⋮ \(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic. ⋮ Identities for a parametric Weyl algebra over a ring ⋮ T-ideals and superAzumaya algebras ⋮ Powers of standard identities satisfied by verbally prime algebras

Cites Work

• TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
• MULTILINEAR IDENTITIES OF THE ALGEBRAS OVER A FIELD OF CHARACTERISTIC P
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