Finite-dimensional representations of PI algebras

DOI10.1016/0021-8693(90)90268-SzbMath0725.16018OpenAlexW2079979586MaRDI QIDQ2277555

Lance W. Small, S. A. Amitsur

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90268-s

zbMATH Keywords

polynomialKrull dimensionNoetherian modulesgenerating setfinitely generated PI-algebralocally finite-dimensionalShirshov's theoremleft module

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representations of orders, lattices, algebras over commutative rings (16G30) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Other kinds of identities (generalized polynomial, rational, involution) (16R50)

Related Items (2)

Algebras of linear growth, the Kurosh-Levitzky problem and large independent sets ⋮ Noncommutative generalizations of theorems of Cohen and Kaplansky.

Cites Work

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• The nilpotency of the radical in a finitely generated P.I. ring
• Subrings of finite index in finitely generated rings
• Fixed Rings of Noetherian Rings
• The integrability of characteristics

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