A note on a problem due to Zelmanowitz
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...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154513 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Rodrigues, V.S. Sant’Ana, A.A. 2019-06-15T16:22:42Z 2019-06-15T16:22:42Z 2009 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. 1726-3255 2000 Mathematics Subject Classification:16D10, 16D80, 16D99. https://nasplib.isofts.kiev.ua/handle/123456789/154513 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A note on a problem due to Zelmanowitz Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A note on a problem due to Zelmanowitz |
| spellingShingle |
A note on a problem due to Zelmanowitz Rodrigues, V.S. Sant’Ana, A.A. |
| title_short |
A note on a problem due to Zelmanowitz |
| title_full |
A note on a problem due to Zelmanowitz |
| title_fullStr |
A note on a problem due to Zelmanowitz |
| title_full_unstemmed |
A note on a problem due to Zelmanowitz |
| title_sort |
note on a problem due to zelmanowitz |
| author |
Rodrigues, V.S. Sant’Ana, A.A. |
| author_facet |
Rodrigues, V.S. Sant’Ana, A.A. |
| publishDate |
2009 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154513 |
| citation_txt |
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. |
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| first_indexed |
2025-12-07T21:03:38Z |
| last_indexed |
2025-12-07T21:03:38Z |
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1850884928059736064 |