Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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SOME TOPOLOGICAL PROPERTIES IN SUBTRACTION ALGEBRAS

  • Ahn, Sun-Shin (Department of Mathematics Education, Dongguk University) ;
  • Kim, Young-Hee (Department of Mathematics and Institute for Basic Science, Chungbuk National University) ;
  • Oh, Kyong-Ah (Department of Mathematics and Institute for Basic Science, Chungbuk National University)
  • Published : 2008.06.25
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Abstract

In this paper, we show how certain topologies associate with ideals of subtraction algebras on subtraction algebras. We show subtraction algebras to be topological subtraction algebras with respect to theses topologies. Furthermore, we show how certain standard properties may arise. In addition we demonstrate that it is natural for these topologies to have many clop en sets and thus to be highly disconnected via the ideal theory of subtraction algebras.

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References

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