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'Dense ideals/subsets of a ring'
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| Title of object: |
Dense ideals/subsets of a ring |
| Canonical Name: |
DenseIdealssubsetsOfARing |
| Type: |
Definition |
| Created on: |
2006-10-29 12:57:33 |
| Modified on: |
2006-10-30 15:56:41 |
| Classification: |
msc:16D25 |
| Defines: |
dense subset of a ring, dense ideals |
Preamble:
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Content:
Given a ring $R$, an ideal/subset $I\subset R$ is said to be \PMlinkescapetext{\emph{dense}} iff both its left and right annihilator are $\{0\}$, in other words
$$\mathrm{l.ann}(I)=\mathrm{r.ann}(I)=\{0\}$$ |
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