prime element
An element in a ring is a prime element if it generates a prime ideal. If is commutative, this is equivalent to saying that for all , if divides , then divides or divides .
When the prime elements as formulated above are simply prime numbers.
Title | prime element |
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Canonical name | PrimeElement |
Date of creation | 2013-03-22 12:46:52 |
Last modified on | 2013-03-22 12:46:52 |
Owner | drini (3) |
Last modified by | drini (3) |
Numerical id | 7 |
Author | drini (3) |
Entry type | Definition |
Classification | msc 13C99 |
Classification | msc 16D99 |
Synonym | prime |
Related topic | PrimeIdeal |
Related topic | DivisibilityInRings |
Related topic | DivisibilityByPrimeNumber |