A note on symmetric elements of division rings with involution

DOI10.1007/s40306-021-00450-1zbMath1504.16027OpenAlexW3198116617MaRDI QIDQ2141415

Vo Hoang Minh Thu

Publication date: 25 May 2022

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-021-00450-1

zbMATH Keywords

involutionsymmetric elementsdivision ringright algebraic

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Finite-dimensional division rings (16K20)

Cites Work

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• Shirshov's theorem and division rings that are left algebraic over a subfield.
• Periodic \(n\)-th commutators of traces in rings with involution
• Algebraic conditions on rings with involution
• On division rings with algebraic commutators of bounded degree.
• Division algebras with left algebraic commutators
• Free subalgebras of division algebras over uncountable fields.
• A note on subgroups in a division ring that are left algebraic over a division subring
• A note on division rings with involutions
• Structure theory for algebraic algebras of bounded degree
• A Survey on Free Objects in Division Rings and in Division Rings with an Involution
• Quadratic Extensions of Skew Fields
• A Survey on *-Group Identities on Units of Group Rings
• A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS
• Algebraic Algebras with Involution

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