Von Neumann regularity in Jordan triple systems

DOI10.1007/BF01304937zbMath0253.17017OpenAlexW2095542511MaRDI QIDQ2557762

Publication date: 1972

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01304937

Mathematics Subject Classification ID

Jordan algebras (algebras, triples and pairs) (17C99)

Related Items (56)

Outer Inheritance of Simplicity in Jordan Systems ⋮ Little jordan clofford algebras ⋮ On the classification of lie and jordan triple systems ⋮ INVARIANT SYMMETRIC BILINEAR FORMS ON LIE TRIPLE SYSTEMS ⋮ Local nilpotency of the McCrimmon radical of a Jordan system ⋮ Linear maps between \(C^*\)-algebras preserving extreme points and strongly linear preservers ⋮ Local inheritance in Jordan algebras ⋮ Cohomology of Jordan triples via Lie algebras ⋮ Commuting \(U\)-operators and nondegenerate imbeddings of Jordan systems ⋮ The Jordan algebras of a Lie algebra ⋮ Finite presentability of universal central extensions of \(\mathfrak{sl}_n\). II ⋮ Alternative H^*-Triple Systems ⋮ On the structure of reduced \(\mathcal J\)-ternary algebras of degree \(>2\) ⋮ On the structure of reduced J-ternary algebras of degree \(>2\) ⋮ On \(n\)-ary Hom-Nambu and Hom-Nambu-Lie algebras ⋮ Some structure theories of Leibniz triple systems ⋮ On Local Algebras of Maximal Algebras of Jordan Quotients ⋮ On the peirce decompositions for freudenthal—kantor triple systems ⋮ Another construction of Lie algebras by generalized Jordan triple systems of second order ⋮ Exceptional jordan triple systems ⋮ On constructions of Lie (super) algebras and (𝜀,δ)-Freudenthal–Kantor triple systems defined by bilinear forms ⋮ On Jordan Banach Algebras with Countably Generated Inner Ideals ⋮ Jordan triple homomorphisms of associative rings with involution ⋮ EXCHANGE MORITA RINGS ⋮ Strongly regular jordan triple systems are shift-free ⋮ On polynomial identities in associative and Jordan pairs ⋮ Speciality of jordan triple systems ⋮ On prime Jordan triple systems. II ⋮ Involutive and Peirce Gradings in JBW*-Triples ⋮ SIMPLE, PRIMITIVE, AND STRONGLY PRIME JORDAN 3-GRADED LIE ALGEBRAS ⋮ Star-free languages are Church-Rosser congruential ⋮ Tits-Kantor-Koecher Superalgebras of Jordan Superpairs Covered by Grids ⋮ Jordan triple homomorphisms of associative structures ⋮ Classification of simple linearly compact Kantor triple systems over the complex numbers ⋮ Eine Konstruktion von Jordan-Algebren ⋮ A Peirce Decomposition for Generalized Jordan Triple Systems of Second Order ⋮ PI theory for associative pairs ⋮ Localization of jordan algebras ⋮ Malcev–Poisson–Jordan algebras ⋮ A Characterisation of von Neumann Regular Jordan Triple Systems ⋮ Involutive gradings of jordan structures ⋮ Classification of \(JBW^ *\)-triples of type I ⋮ The Frattini Subsystem of a Lie Triple System ⋮ Local rings of rings of quotients. ⋮ Coordinatization of jordan triple systems ⋮ On the geometry of the unit ball of a \(J B^{*}\)-triple ⋮ On classical Yang-Baxter equations associated with Freudenthal-Kantor triple systems ⋮ Goldie theorems for associative pairs ⋮ Prime Jordan triple systems ⋮ Local rings of exchange rings ⋮ Inductive Description of Quadratic Lie and Pseudo-Euclidean Jordan Triple Systems ⋮ On the universal envelope of a Jordan triple system of n × n matrices ⋮ Nilideals of Jordan triple systems with finiteness conditions ⋮ Jordan centroids ⋮ Omega-rational expressions with bounded synchronization delay ⋮ Hermitian generalized Jordan triple systems and certain applications to field theory

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