Skew fields with a non-trivial generalised power central rational identity
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Publication:4290999
DOI10.1017/S0004972700016117zbMath0801.16017MaRDI QIDQ4290999
Publication date: 1 December 1994
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
skew fieldfinite-dimensionalgroup wordfree fieldgeneralized power central rational identityuncountable centre
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)
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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
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