Estimation of the cardinality of the maximal spectrum of a product of fields
Abstract
In this paper we show general properties of a product of commutative rings with unity. We obtain a characterization of the prime spectrum of a sum of rings and if we consider a product of fields them its spectrum is T1, or equivalently, it is Hausdorff. Finally we estimate the cardinality of the maximal spectrum of a product of fields.Keywords
Localization, direct product of rings, prime and maximal spectrum
Author Biography
Claudia Granados Pinzón
Doctora en Matemáticas Universidad de Valladolid (España)
Profesora Asociada
Escuela de Matemàticas
Wilson Olaya León
Doctor en Matemáticas
Profesor Titular
Escuela de Matemàticas
Sofía Pinzón Durán
Doctora en Matemáticas
Profesora Titular
Escuela de Matemàticas
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