A note on a problem due to Zelmanowitz

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Authors: Rodrigues, V.S., Sant’Ana, A.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154513
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A note on a problem due to Zelmanowitz / V.S. Rodrigues, A.A. Sant’Ana // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 85–93. — Бібліогр.: 9 назв. — англ.

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-projectiv...