Symmetric modules over their endomorphism rings
Algebra and Discrete Mathematics
Lugansk Taras Shevchenko National University
283 - 294
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Please cite this item using this persistent URLhttp://hdl.handle.net/11693/24358
Let R be an arbitrary ring with identity and M a right R-module with S = End<inf>R</inf>(M). In this paper, we study right R-modules M having the property for f, g ∈ End<inf>R</inf>(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”.
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