Algebraic lattices and nonassociative structures

DOI10.1090/S0002-9939-98-04443-8zbMath0923.17028OpenAlexW175102568MaRDI QIDQ4210573

Eulalia García Rus, Antonio Fernández López

Publication date: 22 September 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04443-8

zbMATH Keywords

Goldie's Theoremuniform elementAlgebraic latticeessential subdirect product

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Structure theory for Jordan algebras (17C10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (9)

Structure theory for multiplicatively semiprime algebras ⋮ On essential elements in a lattice and Goldie analogue theorem ⋮ A characterization of the Kostrikin radical of a Lie algebra ⋮ \(\pi\)-complemented algebras through pseudocomplemented lattices ⋮ The Jordan socle and finitary Lie algebras ⋮ Pseudocomplemented semilattices, Boolean algebras, and compatible products ⋮ Local Lesieur-Croisot theory of Jordan algebras ⋮ LEFT QUOTIENT RINGS OF ALTERNATIVE RINGS ⋮ Goldie theory for Jordan algebras.

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