Results 1 to 10 of about 15,586 (289)

Congruences of finite semidistributive lattices

Cubo
We show that there are finite distributive lattices that are not the congruence lattice of any finite semidistributive lattice. For \(0 \leq k \leq 2\), the distributive lattice \((\mathbf{B}_k)_{++} = \mathbf{2} + \mathbf{B}_k\), where \(\mathbf{B}_k ...
J. B. Nation
doaj   +1 more source

Distributive and Dual Distributive Elements in Hyperlattices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we introduce and study distributive elements, dual distributive elements in hyperlattices, and prove that these elements forms ∧-semi lattice and ∨-semi hyperlattice, respectively.
Ameri Reza, Amiri-Bideshki M., Hoskova-Mayerova Sarka, Saeid A. B.   +3 more
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On Congruence Lattices of Nilsemigroups [PDF]

, 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

H-Fuzzy Ideals and H-Fuzzy Filters in Distributive Join-Semilattices

Journal of Mathematics
This paper investigates H-fuzzy ideals of distributive join-semilattices with least element 0 whose codomain is a complete lattice that satisfies the infinite meet distributive law.
Mohammed Amare Mohammed, Berehanu Bekele Belayneh, Zelalem Teshome Wale, Gezahagne Mulat Addis   +3 more
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Multiplicative derivations in $\vee$-hoop algebras [PDF]

Journal 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, Mohammad Mahdi Motamedi Nezhad   +1 more
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On lattice of Basic Z-Ideals

پژوهش‌های 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  

On Join-Dense Subsets of Certain Families of Aggregation Functions

Mathematics, 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, Jozef Pócs, Jana Pócsová   +2 more
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A generalization of Goodstein's theorem: interpolation by polynomial functions of distributive lattices [PDF]

, 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  

Varieties of unary-determined distributive $\ell$-magmas and bunched implication algebras [PDF]

Logical Methods in Computer Science
A distributive lattice-ordered magma ($d\ell$-magma) $(A,\wedge,\vee,\cdot)$ is a distributive lattice with a binary operation $\cdot$ that preserves joins in both arguments, and when $\cdot$ is associative then $(A,\vee,\cdot)$ is an idempotent semiring.
Natanael Alpay, Peter Jipsen, Melissa Sugimoto   +2 more
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Hubungan antara latis distributif dan aljabar median

Majalah Ilmiah Matematika dan Statistika
Let M be a non-empty set equipped by a ternary operation m:M×M×M→M. The set M is called a median algebra if (M,m) satisfies these properties (1) majority: m(a,a,b)=a, associativity: m(a,b,m(c,b,d) = m(m(a,b,c),b,d), and commutativity: m(a,b,c) = m(a,c,b)
Novita Dahoklory, Henry Willyam Michel Patty   +1 more
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