Jordan and associative rings with nilpotent and invertible elements

DOI10.1016/0021-8693(70)90058-XzbMath0199.35004MaRDI QIDQ2540581

J. Marshall Osborn

Publication date: 1970

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

zbMATH Keywords

generalized rings, nonassociative rings

Related Items (23)

Ring decompositions induced by certain Lie ideals. ⋮ Idempotent structure of Clifford algebras ⋮ Algorithms Based on *-Algebras, and Their Applications to Isomorphism of Polynomials with One Secret, Group Isomorphism, and Polynomial Identity Testing ⋮ Structurable \(H^*\)-algebras ⋮ Algebraic Algebras with Involution ⋮ Quadratic Jordan Algebras Whose Elements are all Invertible or Nilpotent ⋮ On some Montgomery's results on algebras with involution in superalgebras ⋮ A generalization of a theorem of Herstein and Montgomery ⋮ Regularity conditions on skew and symmetric elements in superalgebras with superinvolution ⋮ The Levitzki radical in associative and Jordan rings ⋮ A structure theorem and a positive-definiteness condition in rings with involution ⋮ Right alternative rings with minimal condition ⋮ On alternative rings with involution ⋮ On algebraic power-associative and Jordan algebras with semi-normal functionals ⋮ Varieties of algebras ⋮ Invertible and regular elements in rings with involution ⋮ Decomposing \(p\)-groups via Jordan algebras. ⋮ Superalgebras with superinvolution whose symmetric or skewsymmetric elements are regular ⋮ Radical extensions of Jordan rings ⋮ Unnamed Item ⋮ General bilinear forms. ⋮ On a Result of Osborn ⋮ Fitting decomposition in Jordan systems

Cites Work

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• Lie and Jordan structures in simple associative rings
• STRUCTURE THEORY FOR A CLASS OF JORDAN ALGEBRAS
• Jordan algebras of degree 1
• JORDAN ALGEBRAS OF CAPACITY TWO
• Jordan Algebras with Minimum Condition

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