Non-commutative Combinatorial Inverse Systems
J.-C. Aval, N. Bergeron, H. Li
TL;DR
This paper introduces non-commutative combinatorial inverse systems, providing key examples, conjectures, and results supported by computational experiments, advancing understanding in non-commutative algebraic structures.
Contribution
It presents the concept of combinatorial inverse systems in non-commutative variables along with significant examples, conjectures, and computationally supported results.
Findings
Introduction of non-commutative combinatorial inverse systems
Presentation of key examples and conjectures
Results supported by computer investigations
Abstract
We introduce the notion of a combinatorial inverse system in non-commutative variables. We present two important examples, some conjectures and results. These conjectures and results were suggested and supported by computer investigations.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Graph theory and applications · graph theory and CDMA systems