Abstract
In this paper, we discuss the question of when the substructures, the singular sub-bimodule $\Delta[M,N]$ and the cosingular bi-submodule $\nabla[M,N]$ of $\mbox{Hom\,}(M,N)$, are equal to zero. Some well-known results of regular rings are obtained. Moreover, the substructures $\Delta[M,N]$ and $\nabla[M,N]$ with $M$ and $N$ that are direct sums of submodules are studied.
Citation
Truong Cong Quynh. M. Tamer Koşan. "On the substructures $\Delta$ and $\nabla$." Rocky Mountain J. Math. 45 (2) 661 - 674, 2015. https://doi.org/10.1216/RMJ-2015-45-2-661
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