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Kleene algebras with implication
(Springer, 2017-07)
Inspired by an old construction due to J. Kalman that relates distributive lattices and centered Kleene algebras, in this paper we study an equivalence for certain categories whose objects are algebras with implication ...
Trace forms of certain subfields of cyclotomic fields and applications
(2020-05-07)
In this work, we present a explicit trace forms for maximal real subfields of cyclotomic fields as tools for constructing algebraic lattices in Euclidean space with optimal center density. We also obtain a closed formula ...
Reticulados algébricos via corpos abelianos
(Universidade Estadual Paulista (Unesp), 2008-02-22)
Dado um ideal A do anel dos inteiros algébricos de um corpo de números, tem-se que a imagem deste ideal via o homomorfissmo de Minkowski é um reticulado no Rn, chamado de reticulado algébrico. Deste modo, o principal ...
Reticulados algébricos via corpos abelianos
(Universidade Estadual Paulista (Unesp), 2008-02-22)
Dado um ideal A do anel dos inteiros algébricos de um corpo de números, tem-se que a imagem deste ideal via o homomorfissmo de Minkowski é um reticulado no Rn, chamado de reticulado algébrico. Deste modo, o principal ...
Algebraic constructions of densest lattices
(Elsevier B.V., 2015-05-01)
The aim of this paper is to investigate rotated versions of the densest known lattices in dimensions 2, 3, 4, 5, 6, 7, 8, 12 and 24 constructed via ideals and free Z-modules that are not ideals in subfields of cyclotomic ...
Representations of cubic lattices by symmetric implication algebras
(Springer, 2006-10-18)
In this paper a cubic lattice L(S) is endowed with a symmetric implication structure and it is proved that L(S) \ {0} is a power of the three-element simple symmetric implication algebra. The Metropolis–Rota’s symmetries ...
Free algebras in varieties of BL-algebras generated by BLn-chains
(Cambridge University Press, 2006-06)
Free algebras with an arbitrary number of free generators in varieties of BL-algebras generated by one BL-chain that is an ordinal sum of a finite MV-chain Ln and a generalized BL-chain B are described in terms of weak ...
Free-decomposability in Varieties of Pseudocomplemented Residuated Lattices
(Springer, 2011-07)
In this paper we prove that the free pseudocomplemented residuated lattices are decomposable if and only if they are Stone, i.e., if and only if they satisfy the identity ¬x ∨ ¬¬x = 1. Some applications are given.