In this paper,we introduce the concept of strongly 2-idem-J-clean rings.A ring R is called a strong 2-idempotent J-clean ring,if for any a ∈ R there exists e,f∈Id(R),j∈J(R)such that a=e+f+j,and any two of e,f,j satisfy multiplicative commutativity.Their basic properties and the relation between them and related rings are given to further enrich the theory of clean rings.
clean ringJ-clean ringstrongly 2 idem-J-clean ring
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