Geodesic
A note on a~problem due to Zelmanowitz
Algebra and discrete mathematics, no. 3 (2009), pp. 85-93.

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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.
Keywords: Compressible; critically compressible; uniform; polyform; left duo ring. 
@article{ADM_2009_3_a8,
     author = {V. S. Rodrigues and A. A. Santana},
     title = {A note on a~problem due to {Zelmanowitz}},
     journal = {Algebra and discrete mathematics},
     pages = {85--93},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2009_3_a8/}
}
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V. S. Rodrigues; A. A. Santana. A note on a~problem due to Zelmanowitz. Algebra and discrete mathematics, no. 3 (2009), pp. 85-93. http://geodesic.mathdoc.fr/item/ADM_2009_3_a8/