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An Abelian group or module is said to have the involution property if every endomorphism is the sum of two automorphisms, one of which is an involution. We investigate this property for completely decomposable torsion-free Abelian groups and modules over the ring of -adic integers.
Goldsmith, B., Meehan, C. & Wallutis, S.L. (2007). Torsion-free groups and modules with the involution property. Journal of Pure and Applied Algebra, vol. 208, no. 1, pg. 127-134. 10.1016/j.jpaa.2005.11.006