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Algebraic constructions of rotated unimodular lattices and direct sum of Barnes-Wall lattices
(2020-01-01)
In this paper, we construct some families of rotated unimodular lattices and rotated direct sum of Barnes-Wall lattices BWn for n = 4, 8 and 16 via ideals of the ring of the integers azeta&2rq + ;zeta&2rq-1] for q = 3, 5 ...
Algoritmos computacionais para geração de reticulados algébricos via método de Krüskemper
(Universidade Estadual Paulista (Unesp), 2021-09-28)
Neste trabalho apresentamos um método para a construção de reticulados algébricos com diversidade máxima, no sentido de serem gerados através de mergulhos em corpos de números totalmente reais, que possuem importante ...
Lattices from subfields of Q (xi n)
(Institute of Electrical and Electronics Engineers (IEEE), 2006-01-01)
In this paper we present a method for evaluating the center density of algebraic lattices from subfields of Q(xi n), where n is a positive integer. This method allows to reproduce rotated versions of dense lattices in some ...
Dualities for subresiduated lattices
(Springer, 2021-11)
A subresiduated lattice is a pair (A,D), where A is a bounded distributive lattice, D is a bounded sublattice of A and for every a,b ∈ A there is c ∈ D such that for all d ∈ D, d∧a ≤ b if and only if d ≤ c. This c is denoted ...
Two matrix-based lattice construction techniques
(2013-04-01)
Let m and n be integers greater than 1. Given lattices A and B of dimensions m and n, respectively, a technique for constructing a lattice from them of dimension m+n-1 is introduced. Furthermore, if A and B possess bases ...
Two matrix-based lattice construction techniques
(2013-04-01)
Let m and n be integers greater than 1. Given lattices A and B of dimensions m and n, respectively, a technique for constructing a lattice from them of dimension m+n-1 is introduced. Furthermore, if A and B possess bases ...
Weak-quasi-Stone algebras
(Wiley VCH Verlag, 2009-06)
In this paper we shall introduce the varietyWQS of weak-quasi-Stone algebras as a generalization of the variety QS of quasi-Stone algebras introduced in [9]. We shall apply the Priestley duality developed in [4] for the ...
The lattice of congruences of a finite line frame
(Oxford University Press, 2017-08)
Let F=F,R be a finite Kripke frame. A congruence of F is a bisimulation of F that is also an equivalence relation on F. The set of all congruences of F is a lattice under the inclusion ordering. In this article, we investigate ...