Subrings of a power set and clopen topologies-Reference-Cited by-同舟云学术

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Subrings of a power set and clopen topologies

Published:2020-09-19 Issue:12 Volume:20 Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Ayache Ahmed¹,Echi Othman²^ORCID,Khalfallah Adel²

Affiliation:

1. Department of Mathematics and Statistics, University of Bahrain, P. O. Box 32038, Sukhir, Bahrain

2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P. O. Box 5046, Dhahran 31261, Saudi Arabia

Abstract

The aim of this paper is twofold. First, to provide a characterization of clopen topologies. We show that a topology is clopen if and only if it is symmetric and Alexandroff. Second, to investigate when some special unitary subrings of a power set define a (clopen) topology.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498821502248

Reference4 articles.

1. A closure operator for clopen topologies

2. Grundlehren der Mathematischen Wissenschaften;Grothendieck A.,1971

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the number of clopen topological spaces on a finite set;Afrika Matematika;2023-08-01

2. Quasihomeomorphisms and Skula spaces;Journal of Algebra and Its Applications;2021-10-08

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