prime element (Q2229)
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nonzero, non-unit element p in a commutative ring R such that, whenever p divides ab for some a and b in R, then p divides a or p divides b (or both)
| Language | Label | Description | Also known as |
|---|---|---|---|
| default for all languages | No label defined |
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| English | prime element |
nonzero, non-unit element p in a commutative ring R such that, whenever p divides ab for some a and b in R, then p divides a or p divides b (or both) |