TY - JOUR
ID - 463
TI - Some classes of strongly clean rings
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Chen, H.
AD - Department of Mathematics, Hangzhou Normal University, 310036, Hangzhou, China
Y1 - 2013
PY - 2013
VL - 39
IS - 6
SP - 1099
EP - 1115
KW - strongly $J_n$-clean ring, $2 imes 2$ matrix
KW - Local ring
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_463.html
L1 - http://bims.iranjournals.ir/article_463_8ef77b04cf0305fbaba0af11fc78b480.pdf
ER -