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Nomenclatura Unesco > (12) Matemáticas > (1201) Álgebra > (1201.08) Retículos

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1. g-valoraciones de retículos distributivos. - Vila Mitjà, Antoni

2. Physiopathology of the reticulo-endothelial system; a symposium organized by the Council for International Organizations of Medical Sciences. Edited under the direction of B.N. Halpern by B. Benacerraf [and] J.F. Delafresnaye. - Council for International Organizations of Medical Sciences.
xii, 317 p.

3. On Lodato's proximity lattice. - Martín Rioja, José Andrés

4. A characterization of complete atomic Boolean algebras - Esteva, Francisco
In this note we give a characterization of complete atomic Boolean algebras by means of complete atomic lattices. We find that unicity of the representation of the maximum as union of atoms and Lambda-infinite distributivity law are necessary and sufficient conditions for the lattice to be a complete atomic Boolean algebra.

5. Sur les mesures du degré de flou. - Trillas Ruiz, Enrique; Alsina Catalá, Claudi
On caractérise toutes les entropies-floues qui sont des valuations des treillis P(X) des parties floues d'un ensemble fini X, on presente la construction de certaines entropies floues et on analyse leur caractère de valuation de treillis aiguisés Sh(g), g belonging to P(X).

6. Radical d'un treilli residue. - Pla Carrera, Josep; Rafels, Carles
We presents some relations between the (maximal) spectre of a residuated lattice and the residuated lattices of its regular elements. We note the characterization found for the radical of a residuated lattice via the radical of the residuated lattices of the ragular elements. Finally, this last result is applied in the study of the simplicity and semi-simplicity of a residuated lattice.

7. On functions that cannot be mv-truth values in algebraic structures. - Trillas Ruiz, Enrique
It is shown, in a general frame and playing with idempotency, that in order to have on a given lattice a Multiple Valued Logic preserving the lattice structure, the only t-norms and t-conorms allowing to modelize the truth values of a v b, a ^ b and a --> b are Min and Max, respectively, apart from ordinal sums.

8. A note on the symmetric difference in lattices - Alsina Catalá, Claudi; Trillas, Enric; Renedo, E.
The paper introduces a definition of symmetric difference in lattices with negation, presents its general properties and studies those that are typical of ortholattices, orthomodular lattices, De Morgan and Boolean algebras.

9. A representation theorem for certain Boolean lattices - Ríos Montes, José
Let R be an associative ring with 1 and R-tors the somplete Brouwerian lattice of all hereditary torsion theories on the category of left R-modules. A well known result asserts that R is a left semiartinian ring iff R-tors is a complete atomic Boolean lattice. In this note we prove that if L is a complete atomic Boolean lattice then there exists a left semiartinian ring R such that L is lattice-isomorphic to R-tors.

10. Representation of algebraic distributives lattices with compact elements as ideal lattices of regular rings - Wehrung, F.
We prove the following result: Theorem. Every algebraic distributive lattice $D$ with at most $\aleph _1$ compact elements is isomorphic to the ideal lattice of a von Neumann regular ring $R$. (By earlier results of the author, the $\aleph _1$ bound is optimal.) Therefore, $D$ is also isomorphic to the congruence lattice of a sectionally complemented modular lattice $L$, namely, the principal right ideal lattice of $R$. Furthermore, if the largest element of $D$ is compact, then one can assume that $R$ is unital, respectively, that $L$ has a largest element. This extends several known results of G. M. Bergman, A. P....

11. Reticulo-ruminal mechanoreceptors in sheep - Leek, B. F.
1. The nervous activity in single afferent gastric vagal units was recorded electrophysiologically from halothane-anaesthetized sheep with spontaneous reticulo-ruminal movements present.

12. Reticulo-ruminal mechanoreceptors in sheep - Leek, B. F.
1. The nervous activity in single afferent gastric vagal units was recorded electrophysiologically from halothane-anaesthetized sheep with spontaneous reticulo-ruminal movements present.

13. La controversia de la muerte celular mediada por calcio, ¿es disparada por la mitocondria o el retículo endoplásmico? - Alejandro Martínez Gómez; Myrna A. R. Dent
La controversia de la muerte celular mediada por calcio, ¿es disparada por la mitocondria o el retículo endoplásmico?

14. Cálculo vectorial discreto para problemas elípticos sobre retículas uniformes - Santos Gutiérrez, Roberto
Esta tesina se enmarca dentro de los trabajos en el campo del análisis numérico denominados genéricamente como "discretizaciones miméticas de la mecánica del medio continuo". La idea consiste en establecer un cálculo vectorial sobre retículas uniformes siguiendo el modelo del caso continuo, de forma que se plantean los problemas elípticos directamente en medios discretos. Esto conduce a obtener operadores discretos análogos al gradiente, divergencia y laplaciano, y se demuestra que estos operadores equivalen formalmente a esquemas en diferencias. Posteriormente se realiza un análisis de la consistencia para estudiar el error de aproximación en la discretización y finalmente se obtienen esquemas...

15. Problemas de mayoración en clases de operadores entre retículos de Banach - Flores Álvarez, Julio
Si O<= S<= T:E->F son dos operadores positivos entre dos retículos de Banach E y F, y T pertenece a una cierta clase de operadores. Se dan condiciones para que S pertenezca a dicha clase de operadores. En particular se consideran las siguientes clases de operadores: estrictamente singulares, disjuntamente estrictamente singulares, delgados y estrechos. Se obtienen resultados positivas en esas clases y tambien se estudian relaciones entre las mismas

16. The role of nonspecific reticulo-thalamo- cortical systems in emotion - Lindsley, D. B.
Arousal and activation in nonspecific reticulo- thalamo-cortical systems due to underlying emotion expressed through cortical, visceral and somatomotor channels

17. On the structure of intuitionistic algebras with relational probabilites - Esteva, Francesc
Trillas has defined a relational probability on an intuitionistic algebra and has given its basic properties. The main results of this paper are two. The first one says that a relational probability on a intuitionistic algebra defines a congruence such that the quotient is a Boolean algebra. The second one shows that relational probabilities are, in most cases, extensions of conditional probabilities on Boolean algebras.

18. Relational probabilites on intuitionistic lattices. - Trillas Ruiz, Enrique
In this paper we present and develop, only elementarily, an axiomatic frame for some special fuzzy relations, the so called relational probabilities, which happen to be families of functions which in some cases are quantic probabilities [1] on sublattices of a given lattice; in this way we obtain calculations similar to the ordinary ones but based on a weaker lattice background. This framework is inspired on the presentation of conditional probability on Boolean algebras made in [5] and in [4] and improves further steps given in [6].

19. On the structure of intuitionistic algebras with relational probabilites. - Esteva, Francisco
Trillas ([1]) has defined a relational probability on an intuitionistic algebra and has given its basic properties. The main results of this paper are two. The first one says that a relational probability on a intuitionistic algebra defines a congruence such that the quotient is a Boolean algebra. The second one shows that relational probabilities are, in most cases, extensions of conditional probabilities on Boolean algebras.

20. The band generated by homomorphims on Banach lattices - Feldman, W. A.; Carothers, D. C.
This paper will consider the closure of the set of operators which may be expressed as a sum of lattice homomorphisms whose range is contained in a Dedekind complete Banch lattice.

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