Results 41 to 50 of about 18,279 (288)

A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies

open access: yesOpen Mathematics, 2019
In this paper, by means of the implication operator → on a completely distributive lattice M, we define the approximate degrees of M-fuzzifying convex structures, M-fuzzifying closure systems and M-fuzzifying Alexandrov topologies to interpret the ...
Wang Lan, Wu Xiu-Yun, Xiu Zhen-Yu
doaj   +1 more source

L-fuzzifying topological vector spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
The main purpose of this paper is to introduce a concept of L-fuzzifying topological vector spaces (here L is a completely distributive lattice) and study some of their basic properties.
Cong-Hua Yan, Cong-Xin Wu
doaj   +1 more source

Spectral subspaces of spectra of Abelian lattice-ordered groups in size aleph one

open access: yes, 2023
International audienceIt is well known that the lattice Idc G of all principal ℓ-ideals of any Abelian ℓ-group G is a completely normal distributive 0-lattice, and that not every completely normal distributive 0-lattice is a homomorphic image of some Idc
Friedrich Wehrung   +3 more
core   +1 more source

Essential completions of distributive lattices [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1985
The salient feature of the essential completion process is that for most common distributive lattices it will yield a completely distributive lattice. In this note it is shown that for those distributive lattices which have at least one completely distributive essential extension the essential completion is minimal among the completions by infinitely ...
Gierz, Gerhard, Stralka, Albert R.
openaire   +2 more sources

Cantor-Bernstein theorem for lattice ordered groups [PDF]

open access: yes, 1972
summary:In this paper we investigate the possibility of a regular embedding of a lattice ordered group into a completely distributive vector ...
Jakubík, Ján   +4 more
core   +1 more source

Variable-basis Categorically-algebraic Dualities

open access: yesFuzzy Information and Engineering, 2014
The manuscript continues our study on developing a categorically-algebraic (catalg) analogue of the theory of natural dualities of D. Clark and B. Davey, which provides a machinery for obtaining topological representations of algebraic structures.
Sergey A. Solovyov
doaj   +1 more source

On imaginable T-fuzzy subalgebras and imaginable T-fuzzy closed ideals in BCH-algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We inquire further into the properties on fuzzy closed ideals. We give a characterization of a fuzzy closed ideal using its level set, and establish some conditions for a fuzzy set to be a fuzzy closed ideal.
Young Bae Jun, Sung Min Hong
doaj   +1 more source

Complete Distributivity and Ordered Group Lattices [PDF]

open access: yesProceedings of the American Mathematical Society, 1985
Arveson has recently generalized an important result of Andersen’s about continuous nests to a larger class of lattices. Andersen’s result is a base for much of the recent interesting work on compact perturbations and similarity of nest algebras. This paper investigates further the structure of such lattices.
openaire   +1 more source

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

open access: yesFEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill   +4 more
wiley   +1 more source

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