Varieties whose finitely generated members are free [article]

Keith A. Kearnes, Emil W. Kiss, Agnes Szendrei
2016 arXiv   pre-print
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.
arXiv:1508.03807v2 fatcat:saxzk4ip3ba3vom3dchabcdbuq