Finite Generation of the Group of Eigenvalues for Sets of Derivations or Automorphisms of Division Algebras

DOI10.1080/00927870801952744zbMath1168.16008arXivmath/0505116OpenAlexW2047094381MaRDI QIDQ3514764

Vladimir V. Bavula

Publication date: 23 July 2008

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

Full work available at URL: https://arxiv.org/abs/math/0505116

zbMATH Keywords

Noetherian domainsderivationsautomorphismsdivision algebrasgroups of eigenvalueseigen-algebras

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Automorphisms and endomorphisms (16W20) Infinite-dimensional and general division rings (16K40) Derivations, actions of Lie algebras (16W25) Rings of differential operators (associative algebraic aspects) (16S32) Universal enveloping algebras of Lie algebras (16S30) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (1)

Free Fields in Malcev–Neumann Series Rings

Cites Work

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• Centralizers in rings of quotients of group rings
• On the minimal prime ideals of a tensor product of two fields
• Gelfand-Kirillov dimension of commutative subalgebras of simple infinite dimensional algebras and their quotient division algebras

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