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

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς:	Granados Pinzón, Claudia, Olaya León, Wilson, Pinzón Durán, Sofía
Μορφή:	Online
Γλώσσα:	spa
Έκδοση:	Universidad Pedagógica y Tecnológica de Colombia 2018
Θέματα:	localización producto directo de anillos espectro primo y maximal álgebra Localization direct product of rings prime and maximal spectrum
Διαθέσιμο Online:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/5946

Περιγραφή
Περίληψη:	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.