New Topology on Omega Algebra

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i3.3764

Keywords:

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

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.

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Published

2020-07-31

Issue

Vol. 13 No. 3: (July 2020)

Section

Nonlinear Analysis

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How to Cite

New Topology on Omega Algebra. (2020). European Journal of Pure and Applied Mathematics, 13(3), 513-528. https://doi.org/10.29020/nybg.ejpam.v13i3.3764