| Extensions of Generalized Fitting Modules |
| Received:October 16, 2007 Revised:April 16, 2008 |
| Key Words:
Generalized Fitting modules strongly hopfian modules strongly co-hopfian modules.
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| Fund Project:Supported by National Natural Science Foundation of China (Grant No.10961021). |
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| Abstract: |
| In this paper, we study the closeness of strongly (co)-hopfian properties under some constructions such as the ring of Morita context, direct products, triangular matrix, fraction ring etc. Also, we prove that if $M[X]$ is strongly hopfian (resp. strongly co-hopfian) in $R[X]$-Mod, then $M$ is strongly hopfian (resp. strongly co-hopfian) in $R$-Mod. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.03.004 |
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