Topological characterization of Gelfand and zero dimensinal semirings

Topological characterization of Gelfand and zero dimensinal semirings

Let R be a conmutative semiring with 0 and 1, and let Spec(R) be the set of all proper prime ideals of R. Spec(R) can be endowed with two topologies, the Zariski topology and the D-topology.  Let Max R denote the set of all maximals  prime ideals of R. We prove that the two topologies coincide on Sp...

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Bibliographic Details
Main Authors: Jorge Vielma, Luz Marchan
Format: Article
Language:English
Published: Universitat Politècnica de València 2018-10-01
Series:Applied General Topology
Subjects:
Zariski topology
D-topology
conmutative semiring
Gelfand semiring
zero dimensioal semiring
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/7952

Internet

https://polipapers.upv.es/index.php/AGT/article/view/7952

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