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Algebra and Discrete Mathematics, 2009, Issue 3, Pages 85–93 (Mi adm137)  
This article is cited in 5 scientific papers (total in 5 papers)

RESEARCH ARTICLE

A note on a problem due to Zelmanowitz

V. S. Rodriguesa, A. A. Santanab

a Departamento de Matemática Universidade Federal de Santa Catarina 88040–900 – Florianópolis – Brazil
b Instituto de Matemática Universidade Federal do Rio Grande do Sul 91509–900 –Porto Alegre – Brazil
Full-text PDF (211 kB) Citations (5)
Abstract: 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.
Received: 20.08.2009
Revised: 24.09.2009
Bibliographic databases:
Document Type: Article
MSC: 16D10, 16D80, 16D99
Language: English
Citation: V. S. Rodrigues, A. A. Santana, “A note on a problem due to Zelmanowitz”, Algebra Discrete Math., 2009, no. 3, 85–93
Citation in format AMSBIB
\Bibitem{RodSan09}
\by V.~S.~Rodrigues, A.~A.~Santana
\paper A note on a~problem due to Zelmanowitz
\jour Algebra Discrete Math.
\yr 2009
\issue 3
\pages 85--93
\mathnet{http://mi.mathnet.ru/adm137}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2640391}
\zmath{https://zbmath.org/?q=an:1199.16017}
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  • https://www.mathnet.ru/eng/adm/y2009/i3/p85
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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