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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| Datum: | 2015 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2015
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/154256 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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. |
|---|