Algebraic conditions on rings with involution

DOI10.1016/0021-8693(78)90182-5zbMath0373.16005OpenAlexW2057077590MaRDI QIDQ1244291

Antonino Giambruno

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90182-5

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Division rings and semisimple Artin rings (16Kxx)

Related Items (9)

A note on symmetric elements of division rings with involution ⋮ On the unit groups of rings with involution ⋮ Periodic \(n\)-th commutators of traces in rings with involution ⋮ On minimal ∗-identities of matrices^∗ ⋮ Nill^∗-polynomials in rings ⋮ On \(n\)-th commutators with nilpotent or regular values in rings ⋮ Rings with nil and power central \(k\)-th commutators ⋮ Associative rings ⋮ Lie nilpotence of group rings

Cites Work

• Rings with periodic symmetric or skew elements
• Algebraic valued functions on noncommutative rings
• Rings with involution
• Special simple rings with involution
• Prime rings satisfying a generalized polynomial identity
• Identities in rings with involutions
• Rings with involution and polynomial identities
• A note on division rings with involutions
• On central division algebras
• A generalization of a theorem of Kaplansky and rings with involution
• Lectures on quadratic Jordan algebras
• A generalization of a theorem of Jacobson. II
• Invertible and regular elements in rings with involution
• Structure of a Certain Class of Rings with Involution
• A Generalization of a Theorem of Jacobson
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