On \(n\)-absorbing submodules of modules over commutative rings (Q304560)

Let \(n\geq2\) be an integer. In the paper under review the authors studied the concepts of \(n\)-absorbing and weakly \(n\)-absorbing submodules of modules over commutative rings which are generalizations of prime and weakly prime submodules. Recall that a proper submodule \(N\) of an \(R\)-module \(M\) is called (weakly) \(n\)-absorbing submodule if whenever (\(0\neq a_1a_2\cdots a_nm\in N\)) \(a_1a_2\cdots a_nm\in N\) for some \(a_1,a_2,\ldots,a_n\in R\) and \(m\in M\), then either \(a_1\cdots a_n\in (N:_RM)\) or there are \((n-1)\) of \(a'_i\) whose product with \(m\) is in \(N\).