%0 Journal Article
%T Some classes of strongly clean rings
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Chen, H.
%D 2013
%\ 12/15/2013
%V 39
%N 6
%P 1099-1115
%! Some classes of strongly clean rings
%K strongly $J_n$-clean ring, $2 imes 2$ matrix
%K Local ring
%R
%X A ring $R$ is a strongly clean ring if every element in $R$ is the sum of an idempotent and a unit that commutate. We construct some classes of strongly clean rings which have stable range one. It is shown that such cleanness of $2 imes 2$ matrices over commutative local rings is completely determined in terms of solvability of quadratic equations.
%U http://bims.iranjournals.ir/article_463_8ef77b04cf0305fbaba0af11fc78b480.pdf