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- W1596577088 abstract "An element $ain R$ is very clean provided that there exists an idempotent $ein R$ such that $ae=ea$ and either $a-e$ or $a+e$ is invertible. A ring $R$ is very clean in case every element in $R$ is very clean. We explore the necessary and sufficient conditions under which a triangular $2times 2$ matrix ring over local rings is very clean. The very clean $2times 2$ matrices over commutative local rings are completely determined. Applications to matrices over power series are also obtained." @default.
- W1596577088 created "2016-06-24" @default.
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- W1596577088 date "2014-06-04" @default.
- W1596577088 modified "2023-10-18" @default.
- W1596577088 title "Very clean matrices over local rings" @default.
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