ON TOPOLOGICAL EFFECT ALGEBRAS
Keywords:
effect algebra, topology, paratopology, uniformity, completionAbstract
In this paper the notions of topological and paratopological effect algebras are defined and their properties are investigated. Then by considering the notion of uniformity space and using of Riesz ideals in effect algebras, a topology and a uniformity space on any effect algebra is obtained. Finally, by definition of an equivalence relation on the set of all Cauchy nets of an effect algebra, and geting a quotient structure by that set, a completion for above uniformity space is constructed.
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Published
2018-02-28
How to Cite
Rakhshani, M., Borzooei, R., & Rezaei, G. (2018). ON TOPOLOGICAL EFFECT ALGEBRAS. Italian Journal of Pure and Applied Mathematics, 39, 312–325. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6928
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Articoli - Forum Editrice
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Copyright (c) 2018 M.R. Rakhshani, R.A. Borzooei, G.R. Rezaei
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
