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σ-Ideals in distributive pseudocomplemented residuated lattices
(Springer, 2015-01)
In this paper we shall introduce the notion of σ- ideals in the variety of pseudocomplemented residuated lattices.We shall also give some characterizations of the stonean pseudocomplemented residuated lattices.
Construction of complex nested ideal lattices for complex-valued channel quantization
(2018-01-01)
In this work we develop a new algebraic methodology which quantizes complex-valued channels in order to realize interference alignment (IA) onto a complex ideal lattice. Also we make use of the minimum mean square error ...
Famílias de reticulados algébricos e reticulados ideais
(Universidade Estadual Paulista (Unesp), 2010-02-26)
Neste trabalho é feito um estudo sobre famílias de reticulados algébricos e reticulados ideais. Nosso principal objetivo é a construção de reticulados que são versões rotacioanadas de reticulados já conhecidos na literatura. ...
Famílias de reticulados algébricos e reticulados ideais
(Universidade Estadual Paulista (UNESP), 2014)
E8-lattice via the cyclotomic field Q(ξ24)
(2018-01-01)
Lattices can be applied in different areas of research, particularly, they can be applied in information theory and encryption schemes. Signal constellations having lattice structure have been used as a support for signal ...
Constructions of rotated lattice constellations in dimensions power of 3
(2018-09-01)
In this paper, we present the constructions of rotated ℤ3r-1-lattices, where r is a positive integer, via ℤ-modules of the ring of the integers ℤ [ζ3r+ζ 3r-1]. Our focus is on totally real number fields since the associated ...
On fuzzy ideals and fuzzy filters of fuzzy lattices
(Universidade Federal do Rio Grande do NorteBRUFRNPrograma de Pós-Graduação em Sistemas e ComputaçãoCiência da Computação, 2013-12-06)
A family of asymptotically good lattices having a lattice in each dimension
(World Scientific Publ Co Pte Ltd, 2008-02-01)
A new constructive family of asymptotically good lattices with respect to sphere packing density is presented. The family has a lattice in every dimension n >= 1. Each lattice is obtained from a conveniently chosen integral ...
Constructions of ideal lattices with full diversity
(2011)
In this paper, we present new constructions of ideal lattices for the Rayleigh fading channel in Euclidean spaces with full diversity. These constructions are through totally real subfields of cyclotomic fields, obtained ...