Browsing by Subject "Abelian modules"

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    Symmetric modules over their endomorphism rings
    (Lugansk Taras Shevchenko National University, 2015) Ungor, B.; Kurtulmaz, Y.; Halicioglu, S.; Harmanci, A.
    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. © Journal “Algebra and Discrete Mathematics”.