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(Strongly) \(J\)-\(*\)-tripotent-clean rings. (Chinese. English summary) Zbl 1463.16022

Summary: The concept of (strongly) \(J\)-\(*\)-tripotent-clean ring is introduced. An example is given to illustrate that strongly \(J\)-\(*\)-tripotent-clean ring is a proper subclass of strongly clean ring. Some equivalent definitions of strongly \(J\)-\(*\)-tripotent-clean ring are given. As an application, some corresponding properties for transformations of rings are also given.

MSC:

16E50 von Neumann regular rings and generalizations (associative algebraic aspects)
16U99 Conditions on elements
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