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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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/790 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-790 |
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oai:ojs.admjournal.luguniv.edu.ua:article-7902018-04-04T08:43:10Z A note on a problem due to Zelmanowitz Rodrigues, Virgınia Silva Sant’Ana, Alveri Alves Compressible; critically compressible; uniform; polyform; left duo ring 16D10, 16D80, 16D99 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/790 Algebra and Discrete Mathematics; Vol 8, No 3 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/790/320 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Compressible; critically compressible; uniform; polyform; left duo ring 16D10 16D80 16D99 |
| spellingShingle |
Compressible; critically compressible; uniform; polyform; left duo ring 16D10 16D80 16D99 Rodrigues, Virgınia Silva Sant’Ana, Alveri Alves A note on a problem due to Zelmanowitz |
| topic_facet |
Compressible; critically compressible; uniform; polyform; left duo ring 16D10 16D80 16D99 |
| format |
Article |
| author |
Rodrigues, Virgınia Silva Sant’Ana, Alveri Alves |
| author_facet |
Rodrigues, Virgınia Silva Sant’Ana, Alveri Alves |
| author_sort |
Rodrigues, Virgınia Silva |
| title |
A note on a problem due to Zelmanowitz |
| 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/790 |
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2024-04-12T06:25:24Z |
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2024-04-12T06:25:24Z |
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