2009/07/14 by Diesl, Alexander J., Dorsey, Thomas J.
#16E50 #16U99 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.0907.2281
Many authors have investigated the behavior of strong cleanness under certain ring extensions. In this note, we prove that if R is a ring which is complete with respect to an ideal I and if x is an element of R whose image in R/I is strongly π-regular, then x is strongly clean in R.