Results 31 to 40 of about 84,600 (169)

Latent Complete-Lattice Structure of Hilbert-Space Projectors

Quanta, 2019
To uncover the hidden complete-lattice structure of Hilbert-space projectors, which is not seen by the operator operations and relations (algebraically), resort is taken to the ranges of projectors (to subspaces—to geometry).
Fedor Herbut
doaj   +1 more source

On complete objects in the category of T0 closure spaces

Applied General Topology, 2003
In this paper we present an example in the setting of closure spaces that fits in the general theory on “complete objects” as developed by G. C. L. Brümmer and E. Giuli.
D. Deses, Eraldo Giuli, E. Lowen-Colebunders   +2 more
doaj   +1 more source

The Enumeration of (⊙,∨)-Multiderivations on a Finite MV-Chain

Axioms
In this paper, (⊙,∨)-multiderivations on an MV-algebra A are introduced, the relations between (⊙,∨)-multiderivations and (⊙,∨)-derivations are discussed.
Xueting Zhao, Kai Duo, Aiping Gan, Yichuan Yang   +3 more
doaj   +1 more source

S*-ORLICZ LATTICE

Journal of Kufa for Mathematics and Computer, 2010
In this paper, we review here some of the ideas we have encountered in Orlicz function and define S*- Orlicz lattice. We have proved that S*-Orlicz space (X, ||.||F) is a normed S*-Vector Lattice, complete and therefore, it's a Banach S*-Vector Lattice.
Falah Hasan Sarhan, Ali Hussain Battor Battor   +1 more
doaj   +1 more source

Polarity in a Completely Distributive Complete Lattice [PDF]

Proceedings of the American Mathematical Society, 1988
We introduce p p -bases in completely distributive complete polarity lattices and give a procedure for generating these lattices by p p -bases.
openaire   +1 more source

Hierarchical lattice: Design strategy and topology characterization

Advances in Mechanical Engineering, 2023
The structure-material integrated design is an art-of-state concept and be enabled by additive manufacturing. The lattice material is classified into structure as well as material because mechanical properties are determined by its topology. However, the
He Li, Lingjie Li, Haozhang Zhong, Hanxuan Mo, Mengyuan Gu   +4 more
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Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements

Symmetry, Integrability and Geometry: Methods and Applications, 2010
We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice effect algebras.
Zdenka Riecanová
doaj   +1 more source

On an Application of Lattice Integral Transforms in Image Processing

Mathematics, 2022
The lattice integral transforms have been introduced to generalize lower and upper fuzzy transforms for lattice-valued functions that are used to approximate original functions from below and above.
Michal Holčapek, Viec Bui Quoc, Petr Ferbas   +2 more
doaj   +1 more source

$\alpha$-Projectable and laterally $\alpha$-complete Archimedean lattice-ordered groups with weak unit via topology [PDF]

Categories and General Algebraic Structures with Applications
Let $\bf{W}$ be the category of Archimedean lattice-ordered groups with weak order unit, $\bf{Comp}$ the category of compact Hausdorff spaces, and $\mathbf{W} \xrightarrow{Y} \mathbf{Comp}$ the Yosida functor, which represents a $\bf{W}$-object $A$ as ...
Brian Wynne, Anthony Hager
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Disjunctive Ideals of Almost Distributive Lattices

Discussiones Mathematicae - General Algebra and Applications, 2022
The concept of disjunctive ideals is introduced in an Almost Distributive Lattice (ADL). It is proved that the set of all disjunctive ideals of an ADL forms a complete lattice.
Rafi N., Srujana M., Rao T. Srinivasa
doaj   +1 more source