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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Algebraic lattices and nonassociative structures

Author(s): Antonio Fernández López; Eulalia García Rus
Journal: Proc. Amer. Math. Soc. 126 (1998), 3211-3221.
MSC (1991): Primary 06B05, 16P60, 17C10
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Abstract: Uniform elements in algebraic lattices are studied and their relationship with some nonassociative extensions of Goldie's Second Theorem is shown.


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Additional Information:

Antonio Fernández López
Affiliation: Departamento de Algebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain
Email: emalfer@ccuma.sci.uma.es

Eulalia García Rus
Affiliation: Departamento de Algebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain

DOI: 10.1090/S0002-9939-98-04443-8
PII: S 0002-9939(98)04443-8
Keywords: Algebraic lattice, uniform element, essential subdirect product
Received by editor(s): November 20, 1996
Received by editor(s) in revised form: April 8, 1997
Additional Notes: This work was supported by DGICYT Grant PB093-0990 and by the ``Plan Andaluz de Investigación y Desarrollo Tecnológico".
Communicated by: Lance W. Small
Copyright of article: Copyright 1998, American Mathematical Society


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