Generation of summand absorbing submodules

Zur Izhakian, Manfred Knebusch, Louis Rowen

An $R$-module $V$ over a semiring $R$ lacks zero sums (LZS) if $x+y=0\Rightarrow x=y=0$. More generally, asubmodule $W$ of $V$ is "summand absorbing", if $ \forall \…