Generalized rational identities of subnormal subgroups of skew fields

DOI10.1090/S0002-9939-96-03127-9zbMath0859.16014MaRDI QIDQ4890217

Katsuo Chiba

Publication date: 10 April 1997

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

zbMATH Keywords

free productssubnormal subgroupsfree algebrasdivision ringsmultiplicative groupsuniversal skew fields of fractionsfull matrices

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Infinite-dimensional and general division rings (16K40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Units, groups of units (associative rings and algebras) (16U60)

Related Items (8)

On the unit groups of rings with involution ⋮ Almost subnormal subgroups in division rings with generalized algebraic rational identities ⋮ On the algebraicity of bounded degree in division rings ⋮ Polynomial identities and maximal subgroups of skew linear groups. ⋮ Algebraic commutators with respect to subnormal subgroups in division rings ⋮ Certain simple maximal subfields in division rings ⋮ Some Skew Linear Groups Satisfying Generalized Group Identities ⋮ Free fields in complete skew fields and their valuations

Cites Work

• Are there free groups in division rings?
• On subnormal subgroups of skew fields
• The diamond lemma for ring theory
• Skew fields with a non-trivial generalised power central rational identity
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