نتایج جستجو برای: local rings

تعداد نتایج: 578066  

Journal: :Proceedings of the American Mathematical Society 1968

Journal: :AL-Rafidain Journal of Computer Sciences and Mathematics 2014

Journal: :Proceedings of the American Mathematical Society 1982

Journal: :bulletin of the iranian mathematical society 2013
h. chen

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.

Journal: :Michigan Mathematical Journal 1970

Journal: :Rocky Mountain Journal of Mathematics 1973

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.

Journal: :Illinois Journal of Mathematics 1957

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