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Centriolar satellites assemble via a hierarchical pathway driven by PCM1 multimerization

Begar E, Seyrek E, Yilmaz-Karaoglu S, Arslanhan MD, Odabasi E, Firat-Karalar EN.   +5 more
europepmc   +1 more source

Distributive and completely distributive lattice extensions of ordered sets

International Journal of Algebra and Computation, 2018
It is known that a poset can be embedded into a distributive lattice if, and only if, it satisfies the prime filter separation property. We describe here a class of “prime filter completions” for posets with the prime filter separation property that are completely distributive lattices generated by the poset and preserve existing finite meets and joins.
Wilmari Morton, Clint J. van Alten
semanticscholar   +3 more sources

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Rough sets based on complete completely distributive lattice

Information Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bao Qing Hu
exaly   +3 more sources

On lattice-valued frames: The completely distributive case

Fuzzy Sets and Systems, 2010
The categories \(L\)-\(\mathsf{Frm}\) of lattice-valued frames (briefly, \(L\)-frames) were introduced by \textit{A. Pultr} and \textit{S. Rodabaugh} in [``Category theoretic aspects of chain-valued frames. I, II'', Fuzzy Sets Syst. 159, No.~5, 501--528 (2008; Zbl 1170.18004) and ibid. 529--558 (2008; Zbl 1170.18005)] for \(L\) a complete chain.
Javier Gutierrez Garcia, Ulrich Hohle
exaly   +4 more sources

Lattices of quotients of completely distributive lattices

Algebra Universalis, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo Maokang
exaly   +3 more sources

Metrizability Conditions for Completely Distributive Lattices

Canadian Mathematical Bulletin, 1983
AbstractA lattice is said to be essentially metrizable if it is an essential extension of a countable lattice. The main result of this paper is that for a completely distributive lattice the following conditions are equivalent: (1) the interval topology on L is metrizable, (2) L is essentially metrizable, (3) L has a doubly ordergenerating sublattice, (
Gierz, G., Lawson, J. D., Stralka, A. R.
openaire   +3 more sources

Approximation operators on complete completely distributive lattices

Information Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keyun Qin, Zheng Pei 0001, Jilin Yang, Yang Xu 0001   +3 more
openaire   +3 more sources

Varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive

Semigroup Forum, 2023
We completely classify all varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive.
S. V. Gusev
semanticscholar   +3 more sources

Varieties of monoids with a distributive subvariety lattice

Proceedings of the American Mathematical Society
A monoid is aperiodic if all its subgroups are trivial. We completely classify all varieties of aperiodic monoids whose subvariety lattice is distributive.
S. V. Gusev
semanticscholar   +3 more sources