Extension of valuations on derived groups of division rings

DOI10.1080/00927879508825257zbMath0833.16014OpenAlexW2027989729MaRDI QIDQ4327990

M. Mahdavi-Hezavehi

Publication date: 11 March 1996

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879508825257

zbMATH Keywords

algebraic division ringsdivision ringsderived groupalgebraic over the centermaximally separable subfieldsseparable algebraic subfieldsseparable commutative subgroups

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Conditions on elements (16U99) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

Finitely generated subnormal subgroups of \(\text{GL}_n(D)\) are central ⋮ Valuations on Algebraic Division Algebras ⋮ Free subgroups in maximal subgroups of \(\text{GL}_1(D)\) ⋮ Certain simple maximal subfields in division rings ⋮ VECTOR SPACE GENERATED BY THE MULTIPLICATIVE COMMUTATORS OF A DIVISION RING ⋮ Maximal subgroups of \(\text{GL}_1(D)\)

Cites Work

• Extending valuations to algebraic division algebras

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