A structure theorem and a positive-definiteness condition in rings with involution

DOI10.1016/0021-8693(76)90152-6zbMath0341.16004OpenAlexW2026721142MaRDI QIDQ1231542

Susan Montgomery

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90152-6

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (10)

Orthogonal completeness and minimal prime ideals ⋮ Structure theorem for prime rings satisfying a generalized identity ⋮ Krull dimension of modules over involution rings. II ⋮ Generalized identities and semiprime rings with involution ⋮ Associative rings ⋮ On some Montgomery's results on algebras with involution in superalgebras ⋮ Semisimple radical classes of involution algebras ⋮ Commuting Involution ⋮ On Martindale's theorem ⋮ Superalgebras with superinvolution whose symmetric or skewsymmetric elements are regular

Cites Work

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• Rings with an integral element whose centralizer satisfies a polynomial identity
• Rings of quotients for a class of special Jordan rings
• Prime rings satisfying a generalized polynomial identity
• Identities in rings with involutions
• Jordan and associative rings with nilpotent and invertible elements
• Algebras of normal matrices
• The Lie structure in prime rings with involution
• Lectures on quadratic Jordan algebras
• Invertible and regular elements in rings with involution
• Rings With Involution Whose Symmetric Units Commute
• On Rings with Involution
• Rings with Involution in which Every Trace is Nilpotent or Regular
• Rings with Involution Whose Symmetric Elements are Regular

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