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Reticulados ideais via corpos abelianos
(Universidade Estadual Paulista (Unesp), 2008-02-22)
O objetivo deste trabalho é o estudo de reticulados ideais. Neste estudo enfatizamos o artigo Lattices and Number Fields de Eva Bayer-Fluckiger, que apresenta alguns reticulados ideais com as mesmas propriedades que os ...
Polynomial identities for the ternary cyclic sum
(TAYLOR & FRANCIS LTD, 2009)
We simplify the results of Bremner and Hentzel [J. Algebra 231 (2000) 387-405] on polynomial identities of degree 9 in two variables satisfied by the ternary cyclic sum [a, b, c] abc + bca + cab in every totally associative ...
A Categorical Equivalence for Stonean Residuated Lattices
(Springer Netherlands, 2019-04)
We follow the ideas given by Chen and Grätzer to represent Stone algebras and adapt them for the case of Stonean residuated lattices. Given a Stonean residuated lattice, we consider the triple formed by its Boolean skeleton, ...
An introductory informatics theoretical framework, based on an integrable lattice model using quantized function algebras, for studying DNA-ionized gas interaction system
(2014)
Usually we observe that Bio-physical systems or Bio-chemical systems are many a time based on nanoscale phenomenon in different host environments, which involve many particles can often not be solved explicitly. Instead a ...
Algebraic lattices via polynomial rings
(2019-12-01)
Signal constellations having lattice structure have been studied as meaningful means for signal transmission over Gaussian channel. Usually the problem of finding good signal constellations for a Gaussian channel is ...
An application of lattice basis reduction to polynomial identities for algebraic structures
(ELSEVIER SCIENCE INC, 2009)
The authors` recent classification of trilinear operations includes, among other cases, a fourth family of operations with parameter q epsilon Q boolean OR {infinity}, and weakly commutative and weakly anticommutative ...
Dually hemimorphic semi-Nelson algebras
(Oxford University Press, 2019-11)
Extending the relation between semi-Heyting algebras and semi-Nelson algebras to dually hemimorphic semi-Heyting algebras, we introduce and study the variety of dually hemimorphic semi-Nelson algebras and some of its ...
The Lattice of Subvarieties of Monadic Lukasiewicz Algebras
(Old City Publishing, Inc, 2007-12-28)
In this paper we describe the lattice of subvarieties of the variety ofmonadic Łukasiewicz-Moisil algebras. We then characterize all these subvarieties by means of identities.
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 ...