Classifying Finitely Generated Indecomposable RA Loops
Rings and Algebras
2025-06-23 v1
Abstract
In 1995, E. Jespers, G. Leal and C. Polcino Milies classified all finite ring alternative loops (RA loops for short) which are not direct products of proper subloops. In this paper we extend this result to finitely generated RA loops and provide an explicit description of all such loops.
Cite
@article{arxiv.1204.4277,
title = {Classifying Finitely Generated Indecomposable RA Loops},
author = {Mariana Cornelissen and Cesar Polcino Milies},
journal= {arXiv preprint arXiv:1204.4277},
year = {2025}
}