TY - JOUR ID - 1540 TI - Small submodules with respect to an arbitrary submodule JO - Journal of Algebra and Related Topics JA - JART LA - en SN - 2345-3931 AU - Beyranvand, R. AU - Moradi, F. AD - Lorestan University Y1 - 2015 PY - 2015 VL - 3 IS - 2 SP - 43 EP - 51 KW - Small submodule KW - T-small submodule KW - T-maximal submodule DO - N2 - Let $R$ be an arbitrary ring and $T$ be a submodule of an $R$-module $M$. A submodule $N$ of $M$ is called $T$-small in $M$ provided for each submodule $X$ of $M$, $T\subseteq X+N$ implies that $T\subseteq X$. We study this mentioned notion which is a generalization of the small submodules and we obtain some related results. UR - https://jart.guilan.ac.ir/article_1540.html L1 - https://jart.guilan.ac.ir/article_1540_f62c06857579fe38edbcdc2cf29eabbb.pdf ER -