The fundamental group of an algebra with a strongly simply connected Galois covering-Reference-Cited by-同舟云学术

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

Published:2019-03 Issue:03 Volume:18 Page:1950052
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Castonguay Diane¹,Chaio Claudia²,Trepode Sonia²

Affiliation:

1. Instituto de Informática Bloco IMF I, Campus II, Samambaia, Universidade Federal de Goiás, Goiãnia, GO, Brazil

2. Centro Marplatense de Investigaciones Matemáticas, Facultad de Ciencias Exactas y Naturales, Funes 3350, Universidad Nacional de Mar del Plata, 7600 Mar del Plata, Argentina

Abstract

In this work, we prove that if a triangular algebra [Formula: see text] admits a strongly simply connected universal Galois covering for a given presentation, then the fundamental group associated to this presentation is free.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949881950052X

Reference8 articles.

1. Representation Theory of Artin Algebras

2. Elements of the Representation Theory of Associative Algebras

3. Strongly Simply Connected Algebras

4. On Simply Connected Algebras

5. Covering spaces in representation-theory

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