Geodesic
Symmetric modules over their endomorphism rings
Algebra and discrete mathematics, Tome 19 (2015) no. 2, pp. 283-294

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Let $R$ be an arbitrary ring with identity and $M$ a right $R$-module with $S=\operatorname{End}_R(M)$. In this paper, we study right $R$-modules $M$ having the property for $f,g \in \operatorname{End}_R(M)$ and for $m\in M$, 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.
Keywords: symmetric modules, reduced modules, semicommutative modules, Rickart modules, principally projective modules.
Mots-clés : rigid modules, abelian modules 
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     author = {B. Ungor and Y. Kurtulmaz and S. Hal{\i}c{\i}oglu and A. Harmanci},
     title = {Symmetric modules over their endomorphism rings},
     journal = {Algebra and discrete mathematics},
     pages = {283--294},
     publisher = {mathdoc},
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     number = {2},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2015_19_2_a10/}
}
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B. Ungor; Y. Kurtulmaz; S. Halıcıoglu; A. Harmanci. Symmetric modules over their endomorphism rings. Algebra and discrete mathematics, Tome 19 (2015) no. 2, pp. 283-294. http://geodesic.mathdoc.fr/item/ADM_2015_19_2_a10/