Minimal abelian varieties of algebras, I
Logic
2020-08-21 v4 Rings and Algebras
Abstract
We show that any abelian variety that is not affine has a nontrivial strongly abelian subvariety. In later papers in this sequence we apply this result to the study of minimal abelian varieties.
Cite
@article{arxiv.1912.05653,
title = {Minimal abelian varieties of algebras, I},
author = {Keith A. Kearnes and Emil W. Kiss and Agnes Szendrei},
journal= {arXiv preprint arXiv:1912.05653},
year = {2020}
}
Comments
14 pages. Keywords: abelian algebra, minimal variety, rectangular algebra, strongly abelian algebra, term condition