Álgebras-MV artinianas y noetherianas

We study MV-algebras that satisfacy tha ascending of descending chain conditions on ideals.  We demostrarted, for example, if an MV-algebra is artianan, then it has a finite number of minimal prime ideals. We also show the set of impoicative ideals of an MV-algebra satisfies bothchain conditions pro...

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Autor Principal: Belluce, L. P.
Formato: Artículo
Idioma: Español
Publicado: 2015
Acceso en línea: http://revistas.ucr.ac.cr/index.php/cienciaytecnologia/article/view/2700
http://hdl.handle.net/10669/14598
Sumario: We study MV-algebras that satisfacy tha ascending of descending chain conditions on ideals.  We demostrarted, for example, if an MV-algebra is artianan, then it has a finite number of minimal prime ideals. We also show the set of impoicative ideals of an MV-algebra satisfies bothchain conditions provided the algebra, modulo its radical is noetherian. Other results relate tha chain conditions to semi-locality.