Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Trajano Pires da Nóbrega Neto"'
Autor:
Trajano Pires da Nóbrega Neto, José Othon Dantas Lopes, J. Carmelo Interlando, José Valter Lopes Nunes
Publikováno v:
Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Made available in DSpace on 2022-05-01T08:44:37Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-06-01 A construction of laminated lattices of full diversity in odd dimensions d with 3 ≤ d ≤ 15 is presented. The technique, which uses a comb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fe93186f3886d7c3bf9f7ac852b807c
Autor:
Trajano Pires da Nóbrega Neto, José Othon Dantas Lopes, J. Carmelo Interlando, José Valter Lopes Nunes
Publikováno v:
International Journal of Algebra. 10:429-435
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::552e846cbdab0e26f2600fe1b1e89288
https://doi.org/10.12988/ija.2016.6753
https://doi.org/10.12988/ija.2016.6753
Autor:
J. Carmelo Interlando, Trajano Pires da Nóbrega Neto, José Othon Dantas Lopes, Everton Luiz de Oliveira
Publikováno v:
Web of Science
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Rocky Mountain J. Math. 47, no. 4 (2017), 1075-1088
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Rocky Mountain J. Math. 47, no. 4 (2017), 1075-1088
Made available in DSpace on 2018-11-26T17:42:29Z (GMT). No. of bitstreams: 0 Previous issue date: 2017-01-01 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Let L/Q be a cyclic extension of degree p, where p is an odd unramifi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40656d4245895c301341b7f949e08f86
Autor:
José Othon Dantas Lopes, J. Carmelo Interlando, Trajano Pires da Nóbrega Neto, André Luiz Flores
Publikováno v:
Linear Algebra and its Applications. 438:3001-3010
Let m and n be integers greater than 1. Given lattices A and B of dimensions m and n , respectively, a technique for constructing a lattice from them of dimension m + n - 1 is introduced. Furthermore, if A and B possess bases satisfying certain condi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acc55760606508279e2a81223f8e0df5
https://doi.org/10.1016/j.laa.2012.10.031
https://doi.org/10.1016/j.laa.2012.10.031
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 54:503-508
Known number theoretical constructions of the lattice E8 use the cyclotomic fields \({\mathbb{Q}(\zeta_{15}), \mathbb{Q}(\zeta_{20})}\), and \({\mathbb{Q}(\zeta_{24})}\). In this work, an infinite family of Abelian number fields yielding rotated vers
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a411ecefd2ffcfa350808dc810bdfc50
https://doi.org/10.1007/s13366-012-0095-5
https://doi.org/10.1007/s13366-012-0095-5
Publikováno v:
Canadian Mathematical Bulletin. 54:645-653
Let p be a prime, and let ζp be a primitive p-th root of unity. The lattices in Craig's family are (p –1)-dimensional and are geometrical representations of the integral ℤ[ζp]-ideals 〈1–ζp〉i , where i is a positive integer. This lattice
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::148a8d44f57e39f7ee8fd79fe5bc8cd9
https://doi.org/10.4153/cmb-2011-038-7
https://doi.org/10.4153/cmb-2011-038-7
Autor:
André Luiz Flores, Trajano Pires da Nóbrega Neto, José Othon Dantas Lopes, J. Carmelo Interlando
Publikováno v:
Journal of Algebra and Its Applications. :819-824
Let p be a prime number. A formula for the minimum absolute value of the discriminant of all Abelian extensions of ℚ of degree p2is given in terms of p.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e403045a57f8beb8ef8bf383d8c27e20
https://doi.org/10.1142/s0219498810004257
https://doi.org/10.1142/s0219498810004257
Publikováno v:
International Journal of Number Theory. :147-154
A new constructive family of asymptotically good lattices with respect to sphere packing density is presented. The family has a lattice in every dimension n ≥ 1. Each lattice is obtained from a conveniently chosen integral ideal in a subfield of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1ecda55a14f57ff1a46ffc0b683a14f
https://doi.org/10.1142/s1793042108001262
https://doi.org/10.1142/s1793042108001262
Autor:
José Valter Lopes Nunes, José Othon Dantas Lopes, J. Carmelo Interlando, Trajano Pires da Nóbrega Neto
Publikováno v:
Journal of Algebra and Its Applications. 16:1750186
In this work, [Formula: see text]-dimensional point-lattices are constructed from a number field [Formula: see text], where [Formula: see text] is a cyclic extension of degree [Formula: see text], an odd unramified prime in [Formula: see text]. Famil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e26e7b0b3347a489a94e57705b2d22fc
https://doi.org/10.1142/s0219498817501869
https://doi.org/10.1142/s0219498817501869
Autor:
José Othon Dantas Lopes, Trajano Pires da Nóbrega Neto, J. Carmelo Interlando, Tatiana Miguel Rodrigues
Publikováno v:
Journal of Algebra and Its Applications. 14:1550045
Let m ≥ 3 be an integer, ζm ∈ ℂ a primitive mth root of unity, and Km the cyclotomic field ℚ(ζm). An explicit description of the integral trace form [Formula: see text] where [Formula: see text] is the complex conjugate of x is presented. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4be4f4b32663b34209ab2647afae66b8
https://doi.org/10.1142/s0219498815500450
https://doi.org/10.1142/s0219498815500450