Rings of Idempotent Stable Range One
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- Wang, Z., Chen, J., Khurana, D. et al. Algebr Represent Theor (2012) 15: 195. doi:10.1007/s10468-011-9276-4
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We show that in a ring of stable range 1, any (von Neumann) regular element is clean. Our main results also imply that any unit-regular ring has idempotent stable range 1 (and is therefore clean), and that a semilocal ring has idempotent stable range 1 if and only if it is semiperfect.