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Displaying 21 – 40 of 94

Fantastic filters of lattice implication algebras.

Jun, Young Bae (2000)

International Journal of Mathematics and Mathematical Sciences

Fixed points with respect to the L-slice homomorphism $σ_{a}$

K.S. Sabna, N.R. Mangalambal (2019)

Archivum Mathematicum

Given a locale $L$ and a join semilattice $J$ with bottom element $0_{J}$ , a new concept $(σ, J)$ called $L$ -slice is defined,where $σ$ is as an action of the locale $L$ on the join semilattice $J$ . The $L$ -slice $(σ, J)$ adopts topological properties of the locale $L$ through the action $σ$ . It is shown that for each $a \in L$ , $σ_{a}$ is an interior operator on $(σ, J)$ .The collection $M = {σ_{a}; a \in L}$ is a Priestly space and a subslice of $L$ - $Hom (J, J)$ . If the locale $L$ is spatial we establish an isomorphism between the $L$ -slices $(σ, L)$ and $(δ, M)$ . We have shown that the fixed set of $σ_{a}$ ,...

Generalizations of Boolean algebras. An attribute exploration

Léonard Kwuida, Christian Pech, Heiko Reppe (2006)

Mathematica Slovaca

Homomorphism kernels of a tetravalent modal algebra

Loureiro, Isabel (1980)

Portugaliae mathematica

Interior and closure operators on bounded residuated lattices

Jiří Rachůnek, Zdeněk Svoboda (2014)

Open Mathematics

Bounded integral residuated lattices form a large class of algebras containing some classes of algebras behind many valued and fuzzy logics. In the paper we introduce and investigate multiplicative interior and additive closure operators (mi- and ac-operators) generalizing topological interior and closure operators on such algebras. We describe connections between mi- and ac-operators, and for residuated lattices with Glivenko property we give connections between operators on them and on the residuated...

Interior and Closure Operators on Commutative Bounded Residuated Lattices

Jiří Rachůnek, Zdeněk Svoboda (2013)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Commutative bounded integral residuated lattices form a large class of algebras containing some classes of algebras behind many valued and fuzzy logics. In the paper we introduce and investigate additive closure and multiplicative interior operators on this class of algebras.

Intersection preserving and global expansions of subalgebras and filters in lattice implication algebras.

Jun, Young Bae, Xu, Yang, Qin, Keyun (2006)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Introduction de quelques formes générales des fonctions pseudo-booléennes.

K. Gilezan, B. Canak (1978)

Publications de l'Institut Mathématique [Elektronische Ressource]

Le spectre d'un anneau dans l'algèbre constructive et applications à la dimension

Luis Español (1983)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Logique, catégories et faisceaux

Pierre Cartier (1977/1978)

Séminaire Bourbaki

Logique trivalente de Lukasiewicz

Denise Becchio (1978)

Annales scientifiques de l'Université de Clermont. Mathématiques

Lògiques distributives i booleanes.

Ventura Verdú i Solans (1979)

Stochastica

Continuing the study of different types of Abstract Logics [5], and following works by Brown-Bloom [1] and Brown-Suszko [2], we analyze in this paper some logics in which, if we identify equivalent formulae by means of the consequence operator, we obtain distributive lattices or Boolean algebras.

Models of arithmetic and the 1-3-1 lattice

J. Paris (1977)

Fundamenta Mathematicae

Negation operations definable on finite distributive lattices

Priestley, H.A., Bordalo, G. (1992)

Portugaliae mathematica

Nonstandard implication algebras

R. A. Herrmann (1979)

Matematički Vesnik

Note on $α$ -filters in distributive nearlattices

Ismael Calomino (2019)

Mathematica Bohemica

In this short paper we introduce the notion of $α$ -filter in the class of distributive nearlattices and we prove that the $α$ -filters of a normal distributive nearlattice are strongly connected with the filters of the distributive nearlattice of the annihilators.

Currently displaying 21 – 40 of 94