Abolfazl Tarizadeh
Abstract
In this article we establish a new and not necessarily Hausdorff topology on the prime spectrum which we call it the flat topology. Then we prove the basic properties of the flat topology specially, various interesting characterizations in terms of the flat topology are given.
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In this article we establish a new and not necessarily Hausdorff topology on the prime spectrum which we call it the flat topology. Then we prove the basic properties of the flat topology specially, various interesting characterizations in terms of the flat topology are given.
Key concepts: Topology (electrical circuits), General topology, Extension topology, Hausdorff space, Prime (order theory), Weak topology (polar topology), Subbase, Product topology