Commuting Involution

DOI10.1080/00927872.2015.1087546zbMath1349.16065OpenAlexW4229636975MaRDI QIDQ2817199

Maurice J. Chacron

Publication date: 29 August 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1087546

zbMATH Keywords

quaternion algebracanonical involutionsymplectic involutioncommuting involutionscalar involution

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20)

Related Items

Antiautomorphisms with quasi-generalized Engel condition, CERTAIN INVARIANT MULTIPLICATIVE SUBSET OF A SIMPLE ARTINIAN RING WITH INVOLUTION, Additiven-commuting maps on semiprime rings, Generalized power commuting antiautomorphisms, Commuting anti-homomorphisms, Power commuting additive maps on invertible or singular matrices, Anti-automorphisms satisfying an Engel condition, More on involutions with local Engel or power commuting conditions, Anti-endomorphisms and endomorphisms satisfying an Engel condition, Open questions concerning antiautomorphisms of division rings with quasi-generalized Engel conditions, Unnamed Item

Cites Work

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• Nonassociative algebras with scalar involution
• A structure theorem and a positive-definiteness condition in rings with involution
• Identities in rings with involutions
• Algebras of normal matrices
• A generalization of a theorem of Kaplansky and rings with involution
• Some results on the center of a ring with polynomial identity