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Revision difference : dense ideal |
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Version 7 |
| Given a commutative ring $R$, an ideal/subset $I\subset R$ is said to be \PMlinkescapetext{\emph{dense}} iff its annihilator is $\{0\}$, in other words |
Given a commutative ring $R$, an ideal/subset $I\subset R$ is said to be \PMlinkescapetext{\emph{dense}} iff its annihilator is $\{0\}$, in other words |
| $$\mathrm{Ann}(I)=\{0\}$$ |
$$\mathrm{Ann}(I)=\{0\}$$ |
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We can similarly define \PMlinkescapetext{\emph{right dense} and {left dense}} in the case of noncommutative rings.
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We can similarly define \PMlinkescapetext{\emph{right dense}} and {left dense} in the case of noncommutative rings.
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