Notes on bounded Hilbert algebras with supremum

Celani Sergio A.: Notes on bounded Hilbert algebras with supremum. In: Acta scientiarum mathematicarum, (80) 1-2. pp. 3-19. (2014)

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Abstract

In this note we will investigate some particular classes of ideals in Hilbert algebras with supremum. We shall study the relation between a - ideals and annihilator ideals in bounded Hilbert algebras with supremum. We shall introduce the class of cr-ideals and we will see that this class is strongly connected with the deductive systems. We will also characterize the bounded Hilbert algebras with supremum satisfying the Stone identity.

Item Type:	Article
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2014
Volume:	80
Number:	1-2
ISSN:	0001-6969
Page Range:	pp. 3-19
Language:	English
Contributors:	Contribution Name UNSPECIFIED Hilbert David
Publisher:	Bolyai Institute, University of Szeged
Place of Publication:	Szeged
Official URL:	http://www.acta.hu
Related URLs:	http://acta.bibl.u-szeged.hu/38690/
DOI:	10.14232/actasm-012-267-
Uncontrolled Keywords:	Hilbert-algebra
Additional Information:	Bibliogr.: p. 18-19. és a lábjegyzetekben ; összefoglalás angol nyelven
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2016. Oct. 17. 10:37
Last Modified:	2026. Mar. 05. 11:24
URI:	http://acta.bibl.u-szeged.hu/id/eprint/34482

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