The fundamental group of an algebra with strongly simply connected Galois covering

TL;DR

This paper proves that for certain algebras with a strongly simply connected Galois covering, the associated fundamental group is free, advancing understanding of their algebraic and topological properties.

Contribution

It establishes a new link between strongly simply connected Galois coverings and the freeness of the fundamental group in algebraic structures.

Findings

Fundamental group is free under specified conditions.

Strongly simply connected Galois coverings influence algebraic topology.

Provides new insights into the structure of triangular algebras.

Abstract

In this work, we prove that if a triangular algebra $A$ admits a strongly simply connected universal Galois covering for a given presentation then the fundamental group associated to this presentation is free.