On nilcompactifications of prime spectra of commutative rings

Author:

Acosta Gempeler Lorenzo,Rubio Perilla I. MarcelaORCID

Abstract

AbstractGiven a ring R and one of its proper ideals S, we obtain a compactification of the prime spectrum of S through a mainly algebraic process. We call it the R-nilcompactification of $$\textrm{Spec}S$$ Spec S . We study some categorical properties of this construction.

Funder

Universidad Nacional de Colombia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

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4. Arhangel’skii, A.V.: Remainders in compactifications and generalized metrizability properties. Topol. Appl. 150, 79–90 (2005)

5. Atiyah, M.F., MacDonald, I.G.: Introduction to Commutative Algebra. Addison-Wesley Publishing Company, Boston (1969)

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