Amalgamation and extensions of summand absorbing modules over a semiring

Zur Izhakian, Manfred Knebusch

A submodule $W$ of $V$ is summand absorbing, if $x+y\in W$ implies $x\in W,y\in W$ for any $x,y\in V$. Such submodules often appear in modules over (additively) idempot…