zero divisor

A crucial concept in abstract algebra, particularly in ring theory, describing elements that nullify others when multiplied.

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Definition

C1Ring Theory

(technical, academic)An element in a ring that, when multiplied by another non-zero element, results in zero.

Example

  • In the ring of integers modulo 4, the element 2 is a zero divisor because 2 multiplied by 2 equals 0.

Similar

Terms that have similar or relatively close meanings to "zero divisor":

zero tensorzero in