Invertible and regular elements in rings with involution

DOI10.1016/0021-8693(73)90052-5zbMath0257.16014OpenAlexW2073275176MaRDI QIDQ2559526

I. N. Herstein, Susan Montgomery

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0021-8693(73)90052-5

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (14)

Periodic \(n\)-th commutators of traces in rings with involution ⋮ Associative rings ⋮ Quadratic Jordan Algebras Whose Elements are all Invertible or Nilpotent ⋮ On some Montgomery's results on algebras with involution in superalgebras ⋮ Rings with periodic symmetric or skew elements ⋮ Regularity conditions on skew and symmetric elements in superalgebras with superinvolution ⋮ Multilinear polynomials with invertible values ⋮ A structure theorem and a positive-definiteness condition in rings with involution ⋮ Algebraic conditions on rings with involution ⋮ On Subdirect Products of Rings without Symmetric Divisors of Zero ⋮ Superalgebras with superinvolution whose symmetric or skewsymmetric elements are regular ⋮ Rings of quotients for a class of special Jordan rings ⋮ Rings with involution which are I-rings ⋮ Lie ideals with regular and nilpotent elements and a result on derivations

Cites Work

• Unnamed Item
• Special simple rings with involution
• Prime rings satisfying a generalized polynomial identity
• Rings with involution and polynomial identities
• Jordan and associative rings with nilpotent and invertible elements
• Lie structure of simple rings of characteristic 2
• The Lie structure in prime rings with involution
• Lectures on quadratic Jordan algebras
• JORDAN ALGEBRAS OF CAPACITY TWO
• Rings with Involution Whose Symmetric Elements are Regular

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