Results 41 to 50 of about 23,371 (266)

Lattices of closure operators

open access: yesDiscrete Mathematics, 1998
The system of all closure operators on a set \(V\) forms in a natural way a lattice which is isomorphic to the lattice of all Moore families \((\text{MF}(V),\subseteq)\) of subsets of \(V\). The author shows the existence of a spanning tree for the lattice of Moore families.
openaire   +2 more sources

Axiomatic systems of Alexandrov spaces

open access: yesJournal of Hebei University of Science and Technology, 2017
In order to study internel axiomatic systems and ordered features of Alexandrov spaces, with the help of some existed results in topology and locale theory, by restricting the related structures into Alexandrov setting, some equivalent descriptions are ...
Shanshan ZHANG, Fei LI, Wei YAO
doaj   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

open access: yesFEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa   +5 more
wiley   +1 more source

Functors among Relational Variants of Categories Related to L-Fuzzy Partitions, L-Fuzzy Pretopological Spaces and L-Fuzzy Closure Spaces

open access: yesAxioms, 2020
Various types of topological and closure operators are significantly used in fuzzy theory and applications. Although they are different operators, in some cases it is possible to transform an operator of one type into another.
Jiří Močkoř
doaj   +1 more source

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

open access: yesFEBS Letters, EarlyView.
Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura   +2 more
wiley   +1 more source

CLOSURE OPERATORS ON BL-ALGEBRAS [PDF]

open access: yesCommunications of the Korean Mathematical Society, 2004
Summary: We study relationships between closure operators and BL-algebras. We investigate the properties of closure operators and BL-homomorphisms on BL-algebras. We show that the image of a closure operator on a BL-algebra is isomorphic to a quotient BL-algebra.
Ko, Jung Mi, Kim, Yong Chan
openaire   +1 more source

Counterexamples related to unbounded paranormal operators

open access: yesExamples and Counterexamples, 2021
In this paper, we give an example of a densely defined non-closable paranormal operator. Then, we give another example of a densely defined closable paranormal operator whose closure fails to be paranormal.
Mohammed Hichem Mortad
doaj   +1 more source

Diversity and complexity in neural organoids

open access: yesFEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

Closure operators on hoops

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this article, we study relationships between closure operators and hoops. We investigate the properties of closure operators and hoop-homomorphism on hoops. We show that the image of a closure operator on a hoop is isomorphic to a quotient hoop.
Borzooei R.A.   +3 more
doaj   +1 more source

Path-induced closure operators on graphs for defining digital Jordan surfaces

open access: yesOpen Mathematics, 2019
Given a simple graph with the vertex set X, we discuss a closure operator on X induced by a set of paths with identical lengths in the graph. We introduce a certain set of paths of the same length in the 2-adjacency graph on the digital line ℤ and ...
Šlapal Josef
doaj   +1 more source

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