Results 21 to 30 of about 373 (231)

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

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

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

The Involutive Quantaloid of Completely Distributive Lattices [PDF]

open access: yes, 2020
Let L be a complete lattice and let Q(L) be the unital quantale of join-continuous endo-functions of L. We prove the following result: Q(L) is an involutive (that is, non-commutative cyclic $\star$-autonomous) quantale if and only if L is a completely distributive lattice.
openaire   +3 more sources

Mechanochemical Synthesis and Characterization of Nanostructured ErB4 and NdB4 Rare‐Earth Tetraborides

open access: yesAdvanced Engineering Materials, Volume 27, Issue 6, March 2025.
ErB4 and NdB4 nanostructured powders are produced by mechanochemical synthesis. 5 h mechanical alloying and 4 M HCl acid leaching are used in the production. ErB4 and NdB4 powders exhibit maximum magnetization of 0.4726 emu g−1 accompanied with an antiferromagnetic‐to‐paramagnetic phase transition at about TN = 18 K and 0.132 emu g−1 with a maximum at ...
Burçak Boztemur   +5 more
wiley   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

open access: yesAdvanced Engineering Materials, Volume 27, Issue 6, March 2025.
The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez   +5 more
wiley   +1 more source

Thermodynamic Pathways of Nonequilibrium Solidification in Wire‐Arc Additive Manufacturing Fe‐Based Multicomponent Alloy Structures

open access: yesAdvanced Engineering Materials, EarlyView.
Geometry‐driven thermal behavior in wire‐arc additive manufacturing (WAAM) influences microstructural evolution during nonequilibrium solidification of a chemically complex Fe–Cr–Nb–W–Mo–C nanocomposite system. By comparing different deposits configurations, distinct entropy–cooling rate correlations, segregation, and carbide evolution are revealed ...
Blanca Palacios   +5 more
wiley   +1 more source

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