New Topology on Omega Algebra
Keywords:Tropical geometry, idempotent semiring, omega algebra, omega topology, topological space, topological properties, homeomorphism
AbstractThe purpose of this paper is to define a new topology called omega topology over a new structure called omega algebra and discuss some of its topological properties. Four different examples of omega topology are introduced. Furthermore, we define a new topology over a semiring in conventional algebra and we study the relationship between omega topology and weaker kinds of normality.
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