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 extended to symmetric modules for th...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2015 |
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| 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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Symmetric modules over their endomorphism rings |
| spellingShingle |
Symmetric modules over their endomorphism rings Ungor, B. Kurtulmaz, Y. Halicioglu, S. Harmanci, A. |
| title_short |
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_sort |
symmetric modules over their endomorphism rings |
| author |
Ungor, B. Kurtulmaz, Y. Halicioglu, S. Harmanci, A. |
| author_facet |
Ungor, B. Kurtulmaz, Y. Halicioglu, S. Harmanci, A. |
| publishDate |
2015 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154256 |
| 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. |
| work_keys_str_mv |
AT ungorb symmetricmodulesovertheirendomorphismrings AT kurtulmazy symmetricmodulesovertheirendomorphismrings AT halicioglus symmetricmodulesovertheirendomorphismrings AT harmancia symmetricmodulesovertheirendomorphismrings |
| first_indexed |
2025-12-07T17:05:50Z |
| last_indexed |
2025-12-07T17:05:50Z |
| _version_ |
1850869966548500480 |