ABSTRACT
We will study direct sum decompositions of G in the presence of partial commutative conditions on rings associated with G.
Let G be an rtffr group. We begin with a short discussion of idempotents in End(G). The element e ∈ End(G) is an idempotent if e2 = e. We will use both e2 = e and idempotent to refer to the same property of e as the language permits.
