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Varieties of K-lattices
(Elsevier, 2021-08)
In this paper we deal with varieties of commutative residuated lattices that arise from a specific kind of construction: the twist-product of a lattice. Twist-products were first considered by Kalman in 1958 to deal with ...
Algebraic construction of lattices via maximal quaternion orders
(2020-05-01)
In this paper we propose a framework to construct algebraic lattices in dimensions 4n via ideals from maximal orders of a quaternion algebra whose center is a totally real number field. For n=1,2,3,4 and 6 it was possible ...
Construction of nested 4-dimensional complex lattices in order to realize interference alignment onto a lattice
(2015-01-01)
Interference is usually viewed as an obstacle to communication in wireless networks, so we develop a new methodology to quantize the channel coefficients in order to realize interference alignment onto a 4-dimensional ...
On the generalized eigenvalue method for energies and matrix elements in lattice field theory
(INT SCHOOL ADVANCED STUDIES, 2009)
We discuss the generalized eigenvalue problem for computing energies and matrix elements in lattice gauge theory, including effective theories such as HQET. It is analyzed how the extracted effective energies and matrix ...
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 ...
Phase transitions and order-by-quantum disorder for the anti- ferromagnetic XY model in the checkerboard lattice
(Journal of Magnetism and Magnetic Materials, 2018)
The left adjoint of Spec from a category of lattice-ordered groups
(Elsevier Science, 2016-05)
Let us write ℓGu f for the category whose objects are lattice-ordered abelian groups (l-groups for short) with a strong unit and finite prime spectrum endowed with a collection of Archimedean elements, one for each prime ...