On additive commutator groups in division rings

DOI10.1007/BF03322065zbMath0894.16010OpenAlexW2061386559MaRDI QIDQ1384120

M. L. Mehrabadi, M. Arian-Nejad, Saieed Akbari

Publication date: 7 September 1998

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322065

zbMATH Keywords

primitive elementsadditive commutatorsdivision ringsalgebraicitymaximal subfieldscentrereduced tracesJacobson's theoremseparable subfields

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Conditions on elements (16U99) Skew fields, division rings (12E15)

Related Items (9)

Almost subnormal subgroups in division rings with generalized algebraic rational identities ⋮ Values of polynomials on centrally closed prime algebras ⋮ Remarks on vector space generated by the multiplicative commutators of a division ring ⋮ Algebraic commutators with respect to subnormal subgroups in division rings ⋮ Conditions on Lie ideals in rings ⋮ On Asano’s theorem ⋮ VECTOR SPACE GENERATED BY THE MULTIPLICATIVE COMMUTATORS OF A DIVISION RING ⋮ NOTES ON LIE IDEALS OF SIMPLE ARTINIAN RINGS ⋮ Maximal subgroups of \(\text{GL}_1(D)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic valued functions on noncommutative rings
• Elements of reduced trace \(0\)
• Structure theory for algebraic algebras of bounded degree
• Commutators in Division Rings
• Extending valuations to algebraic division algebras
• On derived groups of division rings II
• A Theorem on Division Rings

This page was built for publication: On additive commutator groups in division rings