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Injective Compact Distributive Lattices [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
In the category of zero-dimensional compact distributive lattices and their continuous lattice-homomorphisms, it is firstly shown that the injective objects are precisely the compact Boolean algebras, and each object has an injective envelope. Secondly, it is shown that the category of compact distributive lattices and their continuous lattice ...
openaire   +2 more sources

Multiplicative derivations in $\vee$-hoop algebras [PDF]

open access: yesJournal of Mahani Mathematical Research
In this paper, first, while introducing multiplicative derivations, we examine some properties of these derivations and present properties of multiplicative derivations in $\vee$-hoop algebras. Then we show that the set of multiplicative derivations on $\
Ali Madanshekaf   +1 more
doaj   +1 more source

On Join-Dense Subsets of Certain Families of Aggregation Functions

open access: yesMathematics, 2022
Several important classes of aggregation functions defined on a bounded lattice form a lattice with respect to the pointwise operations of join and meet, respectively. The lattice structure of such classes is usually very complex; thus, it is very useful
Radomír Halaš   +2 more
doaj   +1 more source

A generalization of Goodstein's theorem: interpolation by polynomial functions of distributive lattices [PDF]

open access: yes, 2011
We consider the problem of interpolating functions partially defined over a distributive lattice, by means of lattice polynomial functions. Goodstein's theorem solves a particular instance of this interpolation problem on a distributive lattice L with ...
Couceiro, Miguel, Waldhauser, Tamás
core  

Decomposition theorem on matchable distributive lattices

open access: yes, 2010
A distributive lattice structure ${\mathbf M}(G)$ has been established on the set of perfect matchings of a plane bipartite graph $G$. We call a lattice {\em matchable distributive lattice} (simply MDL) if it is isomorphic to such a distributive lattice.
Birkhoff   +33 more
core   +1 more source

On Congruence Lattices of Nilsemigroups [PDF]

open access: yes, 2016
We prove that the congruence lattice of a nilsemigroup is modular if and only if the width of the semigroup, as a poset, is at most two, and distributive if and only if its width is one. In the latter case, such semigroups therefore coincide with the nil
Jones, Peter, Popovich, Alexander L.
core   +2 more sources

Reciprocal control of viral infection and phosphoinositide dynamics

open access: yesFEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

On lattice of Basic Z-Ideals

open access: yesپژوهش‌های ریاضی, 2021
For an f-ring  with bounded inversion property, we show that  , the set of all basic z-ideals of , partially ordered by inclusion is a bounded distributive lattice.
Ali Taherifar
doaj  

The uncountable cofinality of the automorphism group of the countable universal distributive lattice

open access: yes, 2011
We show that the automorphism group of the countable universal distributive lattice has strong uncountable cofinality, and we adapt the method to deduce the strong uncountable cofinality of the automorphism group of the countable universal generalized ...
M. Droste, J. Truss
semanticscholar   +1 more source

Structural biology of ferritin nanocages

open access: yesFEBS Letters, EarlyView.
Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley   +1 more source

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