Escudo de la República de Colombia
Sistema Nacional de Biliotecas - Repositorio Institucional Universidad Nacional de Colombia Biblioteca Digital - Repositorio Institucional UN Sistema Nacional de Bibliotecas UN

On middle universal weak and cross inverse property loops with equal length of inverse cycles

Temitope Gbolahan, Jaiyeola (2012) On middle universal weak and cross inverse property loops with equal length of inverse cycles. Revista Colombiana de Matemáticas; Vol. 44, núm. 2 (2010); 79-89 0034-7426 .

Texto completo

[img]
Vista previa
PDF
186kB
[img] HTML
318B

URL oficial: http://revistas.unal.edu.co/index.php/recolma/arti...

Resumen

This study presents a special type of middle isotopism under which the weak inverse property (WIP) is isotopic invariant in loops. A sufficient condition for a WIPL that is specially isotopic to a loop to be isomorphic to the loop isotope is established. It is shown that under this special type of middle isotopism, whenever $n$ is a positive even integer, a finite WIPL has an inverse cycle of length $n$ if and only if its isotope is a finite WIPL with an inverse cycle of length $n$. But, when $n$ is an odd positive integer and a loop (or its isotope) is a finite WIPL with only $e$ and inverse cycles of length $n$, then its isotope (or the loop) is a finite WIPL with only $e$ and inverse cycles of length $n$ if and only if they are isomorphic. Hence, both are isomorphic CIPLs. Explanations and procedures are given on how these results can be used to apply CIPLs to cryptography.

Tipo de documento:Artículo - Article
Palabras clave:Cross inverse property loops (CIPLs), Weak inverse property loops (WIPLs), Inverse cycles, 20NO5, 08A05
Unidad administrativa:Revistas electrónicas UN > Revista Colombiana de Matemáticas
Código ID:29860
Enviado por : Dirección Nacional de Bibliotecas STECNICO
Enviado el día :30 Junio 2014 07:36
Ultima modificación:18 Agosto 2014 18:49
Ultima modificación:18 Agosto 2014 18:49
Exportar:Clic aquí
Estadísticas:Clic aquí
Compartir:

Solamente administradores del repositorio: página de control del ítem

Vicerrectoría de Investigación: Número uno en investigación
Indexado por:
Indexado por Scholar Google WorldCat DRIVER Registry of Open Access Repositories OpenDOAR Metabiblioteca BDCOL OAIster Red de repositorios latinoamericanos DSpace BASE Open archives La referencia Colombiae Open Access Theses and Dissertations Tesis latinoamericanas CLACSO
Este sitio web se ve mejor en Firefox