TITLE:
Coupling Product on Permutations
AUTHORS:
Yishuo Yang, Huilan Li
KEYWORDS:
Permutation, Coupling Product, Graded, Algebra
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.12,
December
12,
2024
ABSTRACT: In combinatorics, permutations are important objects with many operations. In this paper, we define a coupling product on permutations and prove that the space spanned by permutations is a graded algebra.