On radical square zero rings

Details On radical square zero rings On radical square zero rings

2011-12-06

arxiv.org/abs/1112.1422v1

Mathematics

Representation Theory

Scientific paper

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.

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