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Some properties of n-weakly clean rings

Some properties of n-weakly clean rings

Let R be an associative ring with identity and let n be a positive integer. An element x∈R is n-clean if x = u1+⋯+un+e for some units ui∈R(i = 1,…,n) and idempotent e ∈ R. The ring R is said to be n-clean if all of its elements are n-clean. …