In this paper, we introduce and explore in-depth the notion of weakly strongly 2-nil-clean rings as a common non-trivial generalization of both strongly 2-nil-clean rings and strongly weakly nil-clean rings as defined and studied by Chen-Sheibani in the J. Algebra \& Appl. (2017). We, specifically, succeeded to prove that any weakly strongly 2-nil-clean ring is strongly π-regular and, concretely, it decomposes as the direct product of a strongly 2-nil-clean ring and a ring of the type Z₂㵮 for some k 1.
Danchev et al. (Sat,) studied this question.