Strong regularity and generalized inverses in jordan systems

DOI10.1080/00927879208824440zbMath0759.17019OpenAlexW2170729688MaRDI QIDQ3993869

Mercedes Siles Molina, Eulalia García Rus, Antonio Fernández López, Esperanza Sánchez Campos

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1080/00927879208824440

zbMATH Keywords

generalized inversestrong regularityJordan triple systemsDrazin inversesabelian regularitysymmetrized Jordan algebra

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10)

Related Items (17)

Local orders in Jordan algebras ⋮ Surjective isometries between unitary sets of unital JB\(^\ast \)-algebras ⋮ Pointwise-generalized-inverses of linear maps between C^*-algebras and JB^*-triples ⋮ Linear maps between \(C^*\)-algebras preserving extreme points and strongly linear preservers ⋮ Jordan canonical form for finite rank elements in Jordan algebras ⋮ Structure theorem for prime rings satisfying a generalized identity ⋮ A projection-less approach to Rickart Jordan structures ⋮ Strongly preserver problems in Banach algebras and \(C^{\ast}\)-algebras ⋮ Von Neumann regularity and quadratic conorms in JB\(^*\)-triples and C\(^*\)-algebras ⋮ Orthogonality preservers in C\(^*\)-algebras, JB\(^*\)-algebras and JB\(^*\)-triples ⋮ Inner ideals, compact tripotents and Chebyshev subtriples of \(\mathrm{JB}^*\)-triples and \(\mathrm C^*\)-algebras ⋮ ORDERS IN RINGS WITH INVOLUTION ⋮ Strongly regular jordan triple systems are shift-free ⋮ Approximate preservers on Banach algebras and \(C^*\)-algebras ⋮ On the geometry of the unit ball of a \(J B^{*}\)-triple ⋮ Goldie theorems for associative pairs ⋮ LEFT QUOTIENT RINGS OF ALTERNATIVE RINGS

Cites Work

• Unnamed Item
• Unnamed Item
• Fitting decomposition in Jordan systems
• Banach triples with generalized inverses
• A Drazin inverse for rectangular matrices
• Zur Arithmetik der Jordan-Paare
• Complementation of inner ideals in Jordan pairs
• Any orthocomplemented complete modular lattice is a continuous geometry
• Pseudo-Inverses in Associative Rings and Semigroups
• Localization of jordan algebras
• Conjugacy of idempotents in jordan pairs

This page was built for publication: Strong regularity and generalized inverses in jordan systems