VECTOR SPACE GENERATED BY THE MULTIPLICATIVE COMMUTATORS OF A DIVISION RING

DOI10.1142/S0219498813500436zbMath1305.16012OpenAlexW2091768259MaRDI QIDQ2847687

Ali Reza Madadi, M. Arian-Nejad, Saieed Akbari, Mehdi Aaghabali

Publication date: 11 September 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498813500436

zbMATH Keywords

algebraic division ringstrace functionsmultiplicative commutators

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Units, groups of units (associative rings and algebras) (16U60) Skew fields, division rings (12E15) Nonassociative division algebras (17A35)

Related Items (4)

A note on multiplicative commutators of division rings ⋮ Remarks on vector space generated by the multiplicative commutators of a division ring ⋮ Subnormal subgroups and self-invariant maximal subfields in division rings ⋮ On Asano’s theorem

Cites Work

• Multiplicative commutators in division rings. II
• Algebraic valued functions on noncommutative rings
• Multiplicative commutators in division rings
• On additive commutator groups in division rings
• On division rings with algebraic commutators of bounded degree.
• Skew fields with a non-trivial generalised power central rational identity
• Extension of valuations on derived groups of division rings
• On derived groups of division rings II

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