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A Bloch-wigner Theorem Over Rings With Many Units Ii
(ELSEVIER SCIENCE BVAMSTERDAM, 2015)
Design conditions in the middle range for implementation of integrated ring resonators in LiNbO3 by direct laser writing
(Institution of Engineering and Technology, 2019-12)
The aim of this work is to design an integrated optical ring resonator to be implemented in LiNbO3 with a 2.5 mm radius and an operating wavelength of 1550 nm. Considering these ring parameters, a free spectral range (FSR) ...
A new proof of the Unique Factorization of Z 1 + -d 2 for d = 3, 7, 11, 19, 43, 67, 163
(Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas, 2016-07-01)
In this paper, we give an elementary proof of the fact that the rings are unique factorization domains for the values d = 3, 7, 11, 19, 43, 67, 163. While the result in itself is well known, our proof is new and completely ...
Lattice constellations and codes from quadratic number fields
(2001-05-01)
We propose new classes of linear codes over integer rings of quadratic extensions of Q, the field of rational numbers. The codes are considered with respect to a Mannheim metric, which is a Manhattan metric modulo a ...
Lattice constellations and codes from quadratic number fields
(2001-05-01)
We propose new classes of linear codes over integer rings of quadratic extensions of Q, the field of rational numbers. The codes are considered with respect to a Mannheim metric, which is a Manhattan metric modulo a ...
Ring and module theoretic properties of σ − P BW extensions
(2013)
En la presente tesis estudiamos las propiedades de anillos y módulos de los anillos de polinomios no conmutativos denominados extensiones σ − P BW. Dado que estas extensiones son definidas por un anillo y un conjunto de ...