Varieties whose finitely generated members are free
Rings and Algebras
2016-09-13 v2
Abstract
We prove that a variety of algebras whose finitely generated members are free must be definitionally equivalent to the variety of sets, the variety of pointed sets, a variety of vector spaces over a division ring, or a variety of affine vector spaces over a division ring.
Cite
@article{arxiv.1508.03807,
title = {Varieties whose finitely generated members are free},
author = {Keith A. Kearnes and Emil W. Kiss and Agnes Szendrei},
journal= {arXiv preprint arXiv:1508.03807},
year = {2016}
}
Comments
17 pages