Work

Surprising occurrences of order structures in mathematics

Year: 2024

Type: article

Abstract: Order and symmetry are main structural principles in mathematics. We give five examples where on the face of it order is not apparent, but deeper investigations reveal that they are governed by order structures. These examples are finite topologies, associative algebras, subgroups of matrix groups, ideals in polynomial rings, and classes of bipartite graphs.

Source: Journal of Computational Dynamics

DOI: 10.3934/jcd.2024027

Author: Gunnar Fløystad

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4401708134

FWCI: 2.17

Cites: 22

Cited by: 2

Related to: 10