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ABSTRACT
It is shown that every element in a one-sided unit-regular ring is the sum of an idempotent and a one-sided unit. Also we prove that every element in a regular ring satisfying related comparability is the sum of an idempotent and the product of two one-sided units.
ACKNOWLEDGMENT
The author is grateful to the referee for his/her suggestions which improved the manuscript and led to the new version.
Notes
Communicated by E. Puczylowski.