SOME TOPOLOGICAL PROPERTIES IN SUBTRACTION ALGEBRAS Ahn, Sun-Shin; Kim, Young-Hee; Oh, Kyong-Ah;
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.