Abstract
Let $M$ be a right $R$-module, and let $a \in End_R M$ be unit-regular. If $End_R(Ima)$ is an exchange ring and $End_R(Kera)$ has stable rank one, it is shown that there exist an idempotent $e \in End_R M$ and a left cancellable $u \in End_R M$ such that $a = e+u$ and $aM \cap eM = 0$.
Citation
Huanyin Chen. Miaosen Chen. "REGULAR ELEMENTS WHICH IS A SUM OF AN IDEMPOTENT AND A LEFT CANCELLABLE ELEMENT." Taiwanese J. Math. 10 (4) 881 - 890, 2006. https://doi.org/10.11650/twjm/1500403880
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