superfluous submodule

Let $X$ be a submodule of a module $Y$. We say that $X$ is a superfluous submodule of $Y$ if whenever $A$ is a submodule of $Y$ such that $A+X=Y$, then $A=Y$.

Title superfluous submodule SuperfluousSubmodule 2013-03-22 12:10:02 2013-03-22 12:10:02 antizeus (11) antizeus (11) 6 antizeus (11) Definition msc 16D80