Prime and weakly prime submodules on amalgamated duplication of a ring along an ideal

Gürsel Yeşilot, Esra Tarakcı, Yasemin Şimşek

Let $A$ be a commutative ring with identity. A proper submodule $N$ of $A$-module $M$ is said to be prime submodule if $ax\in N$ where $a\in A,x\in M$, implies $x\in N$ or $aM…