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Subrings of a power set and clopen topologies

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageEnglish
Article number2150224
JournalJournal of Algebra and its Applications
Volume20
Issue number12
DOIs
StatePublished - 1 Dec 2021

Bibliographical note

Publisher Copyright:
© 2021 World Scientific Publishing Company.

Keywords

  • Clopen topology
  • Discrete topology
  • Maximal ideals
  • Subrings of a power set

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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