3 papers
On The Cyclicity of Algebraic Lattices
Maria Fernanda Zordan Bonini, Robson Ricardo de Araujo, Antonio Aparecido de Andrade +1
This work presents theoretical advances in the study of cyclic and quasi-cyclic lattices. First, we provide elementary facts regarding cyclic and quasi-cyclic lattices, and discuss…
Algebraic Lattices Arising from Congruence Submodules in Subfields of -th Cyclotomic Fields
Trajano Pires da Nóbrega Neto, Antonio Aparecido de Andrade, Jéfferson Luiz Rocha Bastos +2
The classical sphere packing problem, which remains unsolved, consists of determining how densely a large number of identical spheres can be packed together. In some sphere packing…
Constructions of well-rounded algebraic lattices over odd prime degree cyclic number fields
Robson Ricardo de Araujo, Antonio Aparecido de Andrade, Trajano Pires da Nóbrega Neto +1
Algebraic lattices are those obtained from modules in the ring of integers of algebraic number fields through the canonical or twisted embeddings. In turn, well-rounded lattices ar…