Invo-k-clean rings

Abstract

In this paper, we offer a new generalization of the invo-clean ring that is called invo k-clean ring. Let 2 ≤ k ∈ ℕ }. Then a ring R is called invo k-clean if for each a ∈ R there exist v ∈ Inv(R) and e ∈ P_k(R) such that a = u + e. We obtain some properties of invo k-clean rings.