Results 41 to 50 of about 6,941 (163)

On Generalization of Modular Lattices

Bulletin of the Section of Logic
We introduce the concepts of dually balanced lattices and \(M\)-lattices and provide some basic properties of these classes of lattices. Both classes can be viewed as generalizations of the well-known class of modular lattices.
Agnieszka Stocka
doaj   +1 more source

f-Fixed Points of Isotone f-Derivations on a Lattice

Discussiones Mathematicae - General Algebra and Applications, 2019
In a recent paper, Çeven and Öztürk have generalized the notion of derivation on a lattice to f-derivation, where f is a given function of that lattice into itself.
Zedam Lemnaouar, Yettou Mourad, Amroune Abdelaziz   +2 more
doaj   +1 more source

Truly-optimized PWR lattice for innovative soluble-boron-free small modular reactor

Scientific Reports, 2021
A novel re-optimization of fuel assembly and new innovative burnable absorber (BA) concepts are investigated in this paper to pursue a high-performance soluble-boron-free (SBF) small modular reactor (SMR), named autonomous transportable on-demand reactor
Xuan Ha Nguyen, Seongdong Jang, Yonghee Kim   +2 more
doaj   +1 more source

Formal Ordinal Sums of Triangular Norms on Modular Lattices

Mathematics
The formal ordinal sums of t-norms on the bounded lattice is defined by Saminger, but the formal ordinal sum need not be a t-norm. Hence, she provides a necessary and sufficient condition such that the formal ordinal sum is a t-norm indeed. In this paper,
Yang Luo
doaj   +1 more source

Splitting criteria for modular lattices [PDF]

Proceedings of the American Mathematical Society, 1960
Within the framework of a complete modular lattice two types of criteria for uniform splitting are developed in the first part of this note. One deals with the concept of an 'q-automorphic element, and, under the hypothesis that x is -1-automorphic, it is shown that an endomorphism rq is a uniformly splitting endomorphism of p/0 if and only if rq ...
openaire   +2 more sources

Dual digraphs of finite meet-distributive and modular lattices

Cubo
We describe the digraphs that are dual representations of finite lattices satisfying conditions related to meet-distributivity and modularity. This is done using the dual digraph representation of finite lattices by Craig, Gouveia and Haviar (2015 ...
Andrew Craig, Miroslav Haviar, Klarise Marais   +2 more
doaj   +1 more source

Lattice Bisognano-Wichmann modular Hamiltonian in critical quantum spin chains

SciPost Physics Core, 2020
We carry out a comprehensive comparison between the exact modular Hamiltonian and the lattice version of the Bisognano-Wichmann (BW) one in one-dimensional critical quantum spin chains. As a warm-up, we first illustrate how the trace distance provides
Jiaju Zhang, Pasquale Calabrese, Marcello Dalmonte, M. A. Rajabpour
doaj   +1 more source

Enumeration of the Non-Isomorphic Configurations for a Reconfigurable Modular Robot with Square-Cubic-Cell Modules

International Journal of Advanced Robotic Systems, 2010
Configuration of a reconfigurable modular system is a tough issue because the possible configurations or structures grow exponentially with the number of modules.
Jinguo Liu, Yuechao Wang, Shugen Ma, Yangmin Li   +3 more
doaj   +1 more source

HexaMob—A Hybrid Modular Robotic Design for Implementing Biomimetic Structures

Robotics, 2017
Modular robots are capable of forming primitive shapes such as lattice and chain structures with the additional flexibility of distributed sensing.
Sasanka Sankhar Reddy CH., Sharath Patlolla, Anita Agrawal, Anupama K. R.   +3 more
doaj   +1 more source

Entropy Inequalities for Lattices

Entropy, 2018
We study entropy inequalities for variables that are related by functional dependencies. Although the powerset on four variables is the smallest Boolean lattice with non-Shannon inequalities, there exist lattices with many more variables where the ...
Peter Harremoës
doaj   +1 more source