On the algebraicity of bounded degree in division rings

DOI10.1080/00927872.2022.2057523zbMath1506.16021OpenAlexW4223469647MaRDI QIDQ5089950

Truong Huu Dung, V. M. Trang, Mai Hoang Bien, Buj Suan Khaj

Publication date: 15 July 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2057523

zbMATH Keywords

dimensiondivision ringalgebraicitymaximal subgroupalgebraicity of bounded degreeweakly locally finite, subnormal subgroup

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Identities other than those of matrices over commutative rings (16R40)

Cites Work

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• Shirshov's theorem and division rings that are left algebraic over a subfield.
• A note on the existence of non-cyclic free subgroups in division rings.
• Multiplicative commutators in division rings
• On division rings with algebraic commutators of bounded degree.
• On the radicality of maximal subgroups in \(\mathrm{GL}_n(D)\).
• On weakly locally finite division rings
• Algebraic commutators with respect to subnormal subgroups in division rings
• Products of commutators on a general linear group over a division algebra
• Rational identities and applications to algebra and geometry
• Structure theory for algebraic algebras of bounded degree
• Generalized rational identities of subnormal subgroups of skew fields
• A Generalization of the Cartan-Brauer-Hua Theorem
• Rings with a polynomial identity

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