Skew fields with a non-trivial generalised power central rational identity

DOI10.1017/S0004972700016117zbMath0801.16017MaRDI QIDQ4290999

Katsuo Chiba

Publication date: 1 December 1994

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

skew fieldfinite-dimensionalgroup wordfree fieldgeneralized power central rational identityuncountable centre

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Generalizations of commutativity (associative rings and algebras) (16U80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items

Subnormal subgroups in division rings with generalized power central group identities. ⋮ Almost subnormal subgroups in division rings with generalized algebraic rational identities ⋮ Unnamed Item ⋮ On locally finite skew group algebras ⋮ Generalized rational identities of subnormal subgroups of skew fields ⋮ Generalized power central group identities in almost subnormal subgroups of $\operatorname {GL}_n(D)$ ⋮ VECTOR SPACE GENERATED BY THE MULTIPLICATIVE COMMUTATORS OF A DIVISION RING

Cites Work

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• The diamond lemma for ring theory
• Multiplicative commutators in division rings
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• Words Periodic over the Center of a Division Ring
• Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings
• Fields of Fractions for Group Algebras of Free Groups
• Generalized Polynomial Identities and Pivotal Monomials