Complementation of inner ideals in Jordan pairs

DOI10.1006/jabr.1994.1151zbMath0827.17032OpenAlexW1992203768MaRDI QIDQ1330050

Erhard Neher, Ottmar Loos

Publication date: 17 August 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1151

zbMATH Keywords

Jordan pairArtinian Jordan paircomplement of inner ideal

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Simple, semisimple Jordan algebras (17C20)

Related Items (28)

Local orders in Jordan algebras ⋮ Properness, strictness, and nilness in jordan systems ⋮ Maximal Modular Inner Ideals in Jordan Systems ⋮ Local inheritance in Jordan algebras ⋮ Elementary groups and stability for Jordan pairs ⋮ Strong regularity and generalized inverses in jordan systems ⋮ Homotope polynomial identities in prime Jordan systems ⋮ An elemental characterization of strong primeness in Jordan systems ⋮ Complementary inner ideals in JBW\(^*\)-triples ⋮ Peirce gradings of Jordan systems ⋮ Inner ideals and intrinsic subspaces of linear pair geometries ⋮ Involutions on rectangular Jordan pairs ⋮ Jordan Structures and Non-Associative Geometry ⋮ An Artinian theory for Lie algebras ⋮ Idempotents and Peirce gradings of Jordan algebras ⋮ \(\pi\)-complemented algebras through pseudocomplemented lattices ⋮ Local and subquotient inheritance of simplicity in Jordan systems ⋮ Local PI theory of Jordan systems. II ⋮ Inner ideal structure of nearly Artinian Lie algebras ⋮ Geometries, the principle of duality, and algebraic groups ⋮ Primitivity in Jordan systems is ubiquitous ⋮ INVOLUTIVE GRADINGS AND KERNELS IN JBW*-TRIPLES ⋮ Grids and the arithmetics of Jordan pairs ⋮ The Lie Inner Ideal Structure of Associative Rings Revisited ⋮ Unnamed Item ⋮ Local PI theory of Jordan systems ⋮ Compatible subtriples of Jordan \(^*\)-triples ⋮ Goldie theory for Jordan algebras.

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