scholarly journals A Modal Distributive Law (abstract)

2007 ◽  
pp. 351-351 ◽  
Author(s):  
Yde Venema
Keyword(s):  
Distributive Law

Families of quasigroup operations satisfying the generalized distributive law

2020 ◽  
Vol 30 (3) ◽  
pp. 187-202
Author(s):  
Sergey V. Polin
Keyword(s):  
System Of Equations ◽  
Systems Of Equations ◽  
The Family ◽  
Distributive Law ◽  
Elimination Of Variables

AbstractThe previous paper was concerned with systems of equations over a certain family 𝓢 of quasigroups. In that work a method of elimination of an outermost variable from the system of equations was suggested and it was shown that further elimination of variables requires that the family 𝓢 of quasigroups satisfy the generalized distributive law (GDL). In this paper we describe families 𝓢 that satisfy GDL. The results are applied to construct classes of easily solvable systems of equations.

scholarly journals Rough Approximation Operators on a Complete Orthomodular Lattice

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 164
Author(s):  
Songsong Dai
Keyword(s):  
Boolean Algebra ◽  
Orthomodular Lattice ◽  
Orthomodular Lattices ◽  
Approximation Operators ◽  
Rough Approximation ◽  
Distributive Law ◽  
Complete Orthomodular Lattice ◽  
The Relationship

This paper studies rough approximation via join and meet on a complete orthomodular lattice. Different from Boolean algebra, the distributive law of join over meet does not hold in orthomodular lattices. Some properties of rough approximation rely on the distributive law. Furthermore, we study the relationship among the distributive law, rough approximation and orthomodular lattice-valued relation.

The distributive law in the two-slit experiment

1981 ◽  
Vol 11 (9-10) ◽  
pp. 797-803 ◽  
Author(s):  
P. F. Gibbins ◽  
D. B. Pearson
Keyword(s):  
Distributive Law ◽  
Slit Experiment

The distributive law

Algebra ◽  
2004 ◽  
pp. 14-15
Author(s):  
Israel M. Gelfand ◽  
Alexander Shen
Keyword(s):  
Distributive Law

scholarly journals Note on fuzzy sets

2014 ◽  
Vol 24 (2) ◽  
pp. 299-303 ◽  
Author(s):  
Robert Lin
Keyword(s):  
Fuzzy Sets ◽  
Convex Combination ◽  
Distributive Law

We present some improvements for the landmark paper of fuzzy sets for distributive law, convex combination and convex fuzzy sets. Our enhancement will help researcher absorb the original paper of fuzzy sets.

scholarly journals Constructing a unifying theory of dynamic programming DCOP algorithms via the generalized distributive law

2010 ◽  
Vol 22 (3) ◽  
pp. 439-464 ◽  
Author(s):  
Meritxell Vinyals ◽  
Juan A. Rodriguez-Aguilar ◽  
Jesús Cerquides
Keyword(s):  
Dynamic Programming ◽  
Distributive Law

BRAIDED MIXED DATUMS AND THEIR APPLICATIONS ON HOM-QUANTUM GROUPS

2017 ◽  
Vol 60 (1) ◽  
pp. 231-251 ◽  
Author(s):  
XIAOHUI ZHANG ◽  
LIHONG DONG
Keyword(s):  
Quantum Groups ◽  
Monoidal Category ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Drinfeld Modules ◽  
Distributive Law ◽  
Necessary And Sufficient

AbstractIn this paper, we mainly provide a categorical view on the braided structures appearing in the Hom-quantum groups. Let $\mathcal{C}$ be a monoidal category on which F is a bimonad, G is a bicomonad, and ϕ is a distributive law, we discuss the necessary and sufficient conditions for $\mathcal{C}^G_F(\varphi)$, the category of mixed bimodules to be monoidal and braided. As applications, we discuss the Hom-type (co)quasitriangular structures, the Hom–Yetter–Drinfeld modules, and the Hom–Long dimodules.

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