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...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2009 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2009
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154513 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862750003231981568 |
|---|---|
| author | Rodrigues, V.S. Sant’Ana, A.A. |
| author_facet | Rodrigues, V.S. Sant’Ana, A.A. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T21:03:38Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154513 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T21:03:38Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | A note on a problem due to Zelmanowitz Rodrigues, V.S. Sant’Ana, A.A. |
| title | 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_short | A note on a problem due to Zelmanowitz |
| title_sort | note on a problem due to zelmanowitz |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154513 |
| work_keys_str_mv | AT rodriguesvs anoteonaproblemduetozelmanowitz AT santanaaa anoteonaproblemduetozelmanowitz AT rodriguesvs noteonaproblemduetozelmanowitz AT santanaaa noteonaproblemduetozelmanowitz |