
Zero Product Property
The zero product property asserts that, for elements and
,
This property is especially relevant when considering algebraic structures because, e.g.,integral domains arerings having the zero product property and are important objects of study because of that fact.
See also
Integral Domain,Ring,Zero DivisorThis entry contributed byChristopherStover
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Stover, Christopher. "Zero Product Property." FromMathWorld--A Wolfram Resource, created byEric W. Weisstein.https://mathworld.wolfram.com/ZeroProductProperty.html