Estimation of the cardinality of the maximal spectrum of a product of fields

Estimation of the cardinality of the maximal spectrum of a product of fields

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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 card...

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书目详细资料
Main Authors: Granados Pinzón, Claudia, Olaya León, Wilson, Pinzón Durán, Sofía
格式: Online
语言:spa
出版: Universidad Pedagógica y Tecnológica de Colombia 2018
主题:
localización
producto directo de anillos
espectro primo y maximal
álgebra
Localization
direct product of rings
prime and maximal spectrum
在线阅读:https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/5946
实物特征
总结: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.