Abstract
An ideal I of a commutative ring R with identity is called a cancellation ideal if whenever IB = 1C for ideals B and C of R, then B = C. We show that an ideal I is a cancellation ideal if and only if I is locally a regular principal ideal.
| Original language | English |
|---|---|
| Pages (from-to) | 2853-2854 |
| Number of pages | 2 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 125 |
| Issue number | 10 |
| DOIs | |
| State | Published - 1997 |
Keywords
- Cancellation ideal
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
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