Abstract

GRANADOS PINZON, C.; OLAYA LEON, W.  and  PINZON DURAN, S.. Estimation of the cardinality of the maximal spectrum of a product of fields. Ciencia en Desarrollo [online]. 2018, vol.9, n.2, pp.83-93. ISSN 0121-7488.

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.

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