A Note on Matching in Groups and Field Extensions
Babak Hassanzadeh

TL;DR
This paper discusses open problems in matching theory within groups and field extensions, providing new insights and a linear analogue of acyclic matchings to advance understanding in this mathematical area.
Contribution
It introduces open problems related to matching theory and presents a linear analogue of acyclic matchings, connecting these concepts to established results.
Findings
Identification of open problems in matching theory
Introduction of a linear analogue of acyclic matchings
Connections to well-known results in the field
Abstract
The purpose of this note is to give a number of open problems on matching theory and their relation to the well-known results in this area. We also give a linear analogue of the acyclic matchings.
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Taxonomy
Topicsadvanced mathematical theories · Functional Equations Stability Results · Graph theory and applications
