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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.
References:
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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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