Structure of Zariski-closed algebras

DOI10.1090/S0002-9947-10-04993-7zbMath1221.16021arXiv1109.4912MaRDI QIDQ4930017

Uzi Vishne, Alexei Kanel-Belov, Louis Halle Rowen

Publication date: 27 September 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4912

zbMATH Keywords

finite dimensional algebrasZariski topologyalgebras with polynomial identityrepresentable algebraspolynomial relationsZariski-closed algebrasinfinite dimensional algebras over finite fields

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Finite rings and finite-dimensional associative algebras (16P10) Representations of orders, lattices, algebras over commutative rings (16G30) Automorphisms and endomorphisms (16W20) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (9)

On the codimension sequence of \(G\)-simple algebras. ⋮ Crossed products and their central polynomials. ⋮ The Jacobian Conjecture, Together with Specht and Burnside-Type Problems ⋮ Semisimple algebras and PI-invariants of finite dimensional algebras ⋮ Centralizers in free associative algebras and generic matrices ⋮ Zariski closed algebras in varieties of universal algebra. ⋮ PI-varieties associated to full quivers of representations of algebras ⋮ Full quivers of representations of algebras ⋮ Specht’s problem for associative affine algebras over commutative Noetherian rings

Cites Work

• Unipotent algebraic groups
• Minimal varieties of algebras of exponential growth.
• Questions of rationality for solvable algebraic groups over non-perfect fields
• A Matrix Representation for Associative Algebras. I
• Counterexamples to the Specht problem
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