Some classes of strongly clean rings
نویسنده
چکیده مقاله:
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.
منابع مشابه
some classes of strongly clean rings
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.
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عنوان ژورنال
دوره 39 شماره 6
صفحات 1099- 1115
تاریخ انتشار 2013-12-15
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