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dc.contributor.author
Figallo, Aldo Victorio
dc.contributor.author
Pelaitay, Gustavo Andrés
dc.date.available
2020-03-17T18:55:53Z
dc.date.issued
2016-12
dc.identifier.citation
Figallo, Aldo Victorio; Pelaitay, Gustavo Andrés; Localization of semi-Heyting algebras; University of Craiova; Annals of the University of Craiova; 43; 2; 12-2016; 210-217
dc.identifier.issn
1223-6934
dc.identifier.uri
http://hdl.handle.net/11336/99879
dc.description.abstract
In this note, we introduce the notion of ideal on semi-Heyting algebras which allows us to consider a topology on them. Besides, we define the concept of F−multiplier, where F is a topology on a semi-Heyting algebra L, which is used to construct the localization semi-Heyting algebra LF. Furthermore, we prove that the semi-Heyting algebra of fractions LS associated with an ∧−closed system S of L is a semi-Heyting of localization. Finally, in the finite case we prove that LS is isomorphic to a special subalgebra of L. Since Heyting algebras are a particular case of semi-Heyting algebras, all these results generalize those obtained in [11].
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
University of Craiova
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
LOCALIZATION
dc.subject
F-MULTIPLIERS
dc.subject
SEMI-HEYTING ALGEBRAS
dc.subject
∧−CLOSED SYSTEM
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Localization of semi-Heyting algebras
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-03-13T13:43:56Z
dc.journal.volume
43
dc.journal.number
2
dc.journal.pagination
210-217
dc.journal.pais
Rumania
dc.journal.ciudad
Craiova
dc.description.fil
Fil: Figallo, Aldo Victorio. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina
dc.description.fil
Fil: Pelaitay, Gustavo Andrés. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Departamento de Matemática; Argentina
dc.journal.title
Annals of the University of Craiova
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://inf.ucv.ro/~ami/index.php/ami/article/view/717/
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