Short Proof of a Conjecture Concerning Split-By-Nilpotent Extensions
Representation Theory
2019-10-16 v1
Abstract
Let C be a finite dimensional algebra with B a split extension by a nilpotent bimodule E. We provide a short proof to a conjecture by Assem and Zacharia concerning properties of mod B inherited by mod C. We show if B is a tilted algebra, then C is a tilted algebra.
Cite
@article{arxiv.1803.06794,
title = {Short Proof of a Conjecture Concerning Split-By-Nilpotent Extensions},
author = {Stephen Zito},
journal= {arXiv preprint arXiv:1803.06794},
year = {2019}
}