New Topology on Omega Algebra

Mesfer Hayyan Alqahtani, Cenap Özel, Ibtesam Alshammari

Abstract

The 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.

Keywords

Tropical geometry, idempotent semiring, omega algebra, omega topology, topological space, topological properties, homeomorphism

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