prime element (Q240651)

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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
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)

    Statements

    defining formula
    1 reference
    stated in
    MathWorld
    MathWorld ID
    PrimeElement

    Identifiers

    MathWorld ID
    PrimeElement
    0 references
    nLab ID
    prime element
    0 references
     
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