prime element (Q1185)
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 |
|---|---|---|---|
| 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) |