Symmetric modules over their endomorphism rings
Let R be an arbitrary ring with identity and M a right
 R-module with S=EndR(M). In this paper, we study right
 R-modules M having the property for f,g∈EndR(M) and
 for m∈M, the condition fgm=0 implies gfm=0. We prove
 that some results of symmetric rings can be exten...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2015 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154256 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Symmetric modules over their endomorphism rings / B. Ungor, Y. Kurtulmaz, S. Halicioglu, A. Harmanci // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 283–294. — Бібліогр.: 23 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862707540768325632 |
|---|---|
| author | Ungor, B. Kurtulmaz, Y. Halicioglu, S. Harmanci, A. |
| author_facet | Ungor, B. Kurtulmaz, Y. Halicioglu, S. Harmanci, A. |
| citation_txt | Symmetric modules over their endomorphism rings / B. Ungor, Y. Kurtulmaz, S. Halicioglu, A. Harmanci // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 283–294. — Бібліогр.: 23 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let R be an arbitrary ring with identity and M a right
R-module with S=EndR(M). In this paper, we study right
R-modules M having the property for f,g∈EndR(M) and
for m∈M, the condition fgm=0 implies gfm=0. We prove
that some results of symmetric rings can be extended to symmetric
modules for this general setting.
|
| first_indexed | 2025-12-07T17:05:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154256 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:05:50Z |
| publishDate | 2015 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Ungor, B. Kurtulmaz, Y. Halicioglu, S. Harmanci, A. 2019-06-15T11:56:11Z 2019-06-15T11:56:11Z 2015 Symmetric modules over their endomorphism rings / B. Ungor, Y. Kurtulmaz, S. Halicioglu, A. Harmanci // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 283–294. — Бібліогр.: 23 назв. — англ. 1726-3255 2010 MSC:13C99, 16D80. https://nasplib.isofts.kiev.ua/handle/123456789/154256 Let R be an arbitrary ring with identity and M a right
 R-module with S=EndR(M). In this paper, we study right
 R-modules M having the property for f,g∈EndR(M) and
 for m∈M, the condition fgm=0 implies gfm=0. We prove
 that some results of symmetric rings can be extended to symmetric
 modules for this general setting. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Symmetric modules over their endomorphism rings Article published earlier |
| spellingShingle | Symmetric modules over their endomorphism rings Ungor, B. Kurtulmaz, Y. Halicioglu, S. Harmanci, A. |
| title | Symmetric modules over their endomorphism rings |
| title_full | Symmetric modules over their endomorphism rings |
| title_fullStr | Symmetric modules over their endomorphism rings |
| title_full_unstemmed | Symmetric modules over their endomorphism rings |
| title_short | Symmetric modules over their endomorphism rings |
| title_sort | symmetric modules over their endomorphism rings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154256 |
| work_keys_str_mv | AT ungorb symmetricmodulesovertheirendomorphismrings AT kurtulmazy symmetricmodulesovertheirendomorphismrings AT halicioglus symmetricmodulesovertheirendomorphismrings AT harmancia symmetricmodulesovertheirendomorphismrings |