Movatterモバイル変換


[0]ホーム

URL:


TOPICS
SearchClose
Search

Zero Product Property


The zero product property asserts that, for elementsa andb,

 ab=0=>a=0 or b=0.

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 Divisor

This entry contributed byChristopherStover

Explore with Wolfram|Alpha

Cite this as:

Stover, Christopher. "Zero Product Property." FromMathWorld--A Wolfram Resource, created byEric W. Weisstein.https://mathworld.wolfram.com/ZeroProductProperty.html

Subject classifications

Created, developed and nurtured by Eric Weisstein at Wolfram Research

[8]ページ先頭

©2009-2025 Movatter.jp