# GENERALIZATIONS OF QF-3 ALGEBRAS

@inproceedings{Colby2010GENERALIZATIONSOQ, title={GENERALIZATIONS OF QF-3 ALGEBRAS}, author={Robert R. Colby and Edgar A. Rutter}, year={2010} }

This paper consists of three parts. The first is devoted to investigating the equivalence and left-right symmetry of several conditions known to characterize finite dimensional algebras which have a unique minimal faithful representation— QF-3 algebras—in the class of left perfect rings. It is shown that the following conditions are equivalent and imply their right-hand analog: R contains a faithful S-injective left ideal, R contains a faithful LT-projective injective left ideal; the injective…

## 4 Citations

Injective stabilization of additive functors. II. (Co)torsion and the Auslander-Gruson-Jensen functor

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A right R-module M is called a D3-module, if M 1 and M 2 are direct summands of M with M = M 1 + M 2, then M 1 ∩ M 2 is a direct summand of M. Following the work of Bass on projective covers, we…

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