Nonmatrix varieties

DOI10.1007/BF01668994zbMath0467.16025OpenAlexW4244858111MaRDI QIDQ1155702

Alexander Kemer

Publication date: 1981

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01668994

zbMATH Keywords

finitely based varietyGrassmann algebranonmatrix varietySpechtian variety

Mathematics Subject Classification ID

Rings with polynomial identity (16Rxx)

Related Items (15)

Group algebras and enveloping algebras with nonmatrix and semigroup identities ⋮ Noether bound for invariants in relatively free algebras. ⋮ Examples and counterexamples for \(M_{1,1}\) embeddings ⋮ Nonmatrix varieties and nil-generated algebras whose units satisfy a group identity ⋮ Lie superalgebras whose enveloping algebras satisfy a non-matrix polynomial identity ⋮ Multiplicatively collapsing and rewritable algebras ⋮ Torsion subgroups, solvability and the Engel condition in associative rings ⋮ Engel condition on enveloping algebras of Lie superalgebras ⋮ Weak polynomial identities and their applications ⋮ Associative rings ⋮ Characterization of non-matrix varieties of associative algebras. ⋮ The Kurosh problem, height theorem, nilpotency of the radical, and algebraicity identity. ⋮ Burnside-type problems, theorems on height, and independence. ⋮ Radical rings with Engel conditions ⋮ Magnum P.I

Cites Work

• Remark on the standard identity
• Existence of identities in \(A \otimes B\)
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