Balanced module
In the subfield of abstract algebra known as module theory, a right R module M is called a balanced module if every R-homomorphism from M into M is given by multiplication by a ring element. Explicitly, for any R-endomorphism f, there exists an r in R such that f(x)=xr for all x in M.
A ring is called right balanced if every right R module is balanced.
The study of balanced modules and rings is an outgrowth of R. M. Thrall's study of QF-1 rings. An incomplete list of authors outlining the theory of balanced modules includes (Faith 1999), (Dlab & Ringel 1972)