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Topological characterization of Gelfand and zero dimensional semirings

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Topological characterization of Gelfand and zero dimensional semirings

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dc.contributor.author Vielma, Jorge es_ES
dc.contributor.author Marchan, Luz es_ES
dc.date.accessioned 2018-10-05T07:18:12Z
dc.date.available 2018-10-05T07:18:12Z
dc.date.issued 2018-10-04
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/109448
dc.description.abstract [EN] 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 Spec(R) and on Max R if and only if R is zero dimensional and Gelfand semiring, respectively. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Zariski topology es_ES
dc.subject D-topology es_ES
dc.subject Conmutative semiring es_ES
dc.subject Gelfand semiring es_ES
dc.subject Zero dimensional semiring es_ES
dc.title Topological characterization of Gelfand and zero dimensional semirings es_ES
dc.type Artículo es_ES
dc.date.updated 2018-10-04T12:58:03Z
dc.identifier.doi 10.4995/agt.2018.7952
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Vielma, J.; Marchan, L. (2018). Topological characterization of Gelfand and zero dimensional semirings. Applied General Topology. 19(2):217-222. https://doi.org/10.4995/agt.2018.7952 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2018.7952 es_ES
dc.description.upvformatpinicio 217 es_ES
dc.description.upvformatpfin 222 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 19
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.description.references H. Al-Ezeh, Topological characterization of certain classes of lattices, Rend. Sem. Univ. Padova 83 (1990), 13-18. es_ES
dc.description.references M. L. Colasante, C. Uzcátegui and J. Vielma, Boolean algebras and low separation axioms, Topology Proceedings 34 (2009), 1-15. es_ES
dc.description.references N. Rafi and G. C. Rao, Topological characterization of certain classes of almost distributive lattice, J. Appl. Math. & Informatics 33, no. 3-4 (2015), 317-325. https://doi.org/10.14317/jami.2015.317 es_ES
dc.description.references M. T. Sancho, Methods of conmutative algebra for topology, Universidad de Salamanca, Departamento de matemáticas, (1987). es_ES
dc.description.references C. Uzcátegui and J. Vielma, Alexandroff topologies viewed as closed sets in the Cantor cube, Divulg. Mat. 13, no. 1 (2005), 45-53. es_ES


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