Title of article :
On nominal sets with support-preorder
Author/Authors :
Hossinabadi ، Aliyeh Faculty of mathematics, Statistics and Computer science - Semnan University , Haddadi ، Mahdieh Faculty of mathematics, Statistics and Computer science - Semnan University , Keshvardoost ، Khadijeh Department of Mathematics - Velayat University
Abstract :
Each nominal set 𝑋 can be equipped with a preorder relation ⪯ defined by the notion of support, socalled supportpreorder. This preorder also leads us to the support topology on each nominal set. We study supportpreordered nominal sets and some of their categorical properties in this paper. We also examine the topological properties of support topology, in particular separation axioms.
Keywords :
nominal set , supportpreordered nominal set , support topological nominal set
Journal title :
Categories and General Algebraic Structures with Applications
Journal title :
Categories and General Algebraic Structures with Applications
