A note on a problem due to Zelmanowitz

Virgınia Silva Rodrigues, Alveri Alves Sant’Ana


In this paper we consider a problem due to Zelmanowitz. Specifically, we study under what conditions a uniform compressible module whose nonzero endomorphisms are monomorphisms is critically compressible. We give a positive answer to this problem for the class of nonsingular modules, quasi-projective modules and for modules over rings which are in a certain class of rings which contains at least the commutative rings and the left duo rings.


Compressible; critically compressible; uniform; polyform; left duo ring

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