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Locally conformal symplectic structures on Lie algebras of type i and their solvmanifolds
(De Gruyter, 2019-05-01)
We study Lie algebras of type I, that is, a Lie algebra g where all the eigenvalues of the operator ad X are imaginary for all X g. We prove that the Morse-Novikov cohomology of a Lie algebra of type I is trivial for any ...
Corpos abelianos com aplicações
(Universidade Estadual Paulista (UNESP), 2014)
Semi-Nelson Algebras
(Springer, 2016-11)
Generalizing the well known and exploited relation between Heyting and Nelson algebras to semi-Heyting algebras, we introduce the variety of semi-Nelson algebras. The main tool for its study is the construction given by ...
The Quasi-lattice of Indiscernible Elements
(Springer, 2011-02-01)
The literature on quantum logic emphasizes that the algebraic structures involved with orthodox quantum mechanics are non distributive. In this paper we develop a particular algebraic structure, the quasi-lattice (J-lattice), ...
The Quasi-lattice of Indiscernible Elements
(Springer, 2011-02-01)
The literature on quantum logic emphasizes that the algebraic structures involved with orthodox quantum mechanics are non distributive. In this paper we develop a particular algebraic structure, the quasi-lattice (J-lattice), ...
Lattices from maximal orders into quaternion algebras
(Elsevier B.V., 2015-04-01)
We propose an algebraic framework to construct dense lattices from maximal orders of a quaternion algebra whose center is an imaginary quadratic field. This work extends [21] where a method called algebraic reduction has ...
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 ...
Uma introdução aos corpos não abelianos de grau menor ou igual a 6.
(Universidade Estadual Paulista (Unesp), 2021-10-01)
Neste trabalho apresentamos os conceitos básicos da Teoria Algébrica dos Números com o objetivo da construção de reticulados por intermédio dos corpos de números de grau n = 2, 3, 4, 5, 6. Neste contexto, apresentamos os ...