On radical square zero rings
Representation Theory
2011-12-08 v1 Rings and Algebras
Abstract
Let A be a connected left artinian ring with radical square zero and with n simple modules. If A is not self-injective, then we show that any module M with Ext^i(M,A) = 0 for 1 \le i \le n + 1 is projective. We also determine the structure of the artin algebras with radical square zero and n simple modules which have a non-projective module M such that Ext^i(M,A) = 0 for 1 \le i \le n.
Keywords
Cite
@article{arxiv.1112.1422,
title = {On radical square zero rings},
author = {Claus Michael Ringel and Bao-Lin Xiong},
journal= {arXiv preprint arXiv:1112.1422},
year = {2011}
}