On semi-idempotents in rings (Q1087969)
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scientific article; zbMATH DE number 3989576
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On semi-idempotents in rings |
scientific article; zbMATH DE number 3989576 |
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On semi-idempotents in rings (English)
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1986
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An element \(\alpha\neq 0\) of a ring R is called semi-idempotent if \(\alpha\) is not in the proper ideal generated by \(\alpha -\alpha^ 2\). This note characterizes local rings using semi-idempotents. It is shown that R is local if and only if the only semi-idempotents of R are units and zero.
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local rings
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semi-idempotents
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0.94908845
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0.9310167
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