Reading several papers by Lux and Szőke, I have come across the notion of a constituent of an $A$-module $M$, where $A$ is an algebra over a field. I did not find a clear definition; in Burrow's Representation theory of finite groups, at least top and bottom constituents are defined. But what is a constitient of a module in general?
My guess would be that if I write down a sequence $0\subsetneq M_1 \subsetneq\cdots\subsetneq M_\ell=M$ of proper submodule inclusions, then I would call any subquotient $M_i/M_{i-1}$ a constituent; so the notion of a constituent generalises the notion of a composition factor. In fact, irreducible constituents then would be the same as composition factors. Is this guess of the definition of a constituent correct?