In abstract algebra, the triple product property is an identity satisfied in some groups.
Let be a non-trivial group. Three nonempty subsets are said to have the triple product property in if for all elements, it is the case that
where is the identity of .
It plays a role in research of fast matrix multiplication algorithms.
Famous quotes containing the words triple, product and/or property:
“And we fairies, that do run
By the triple Hecate’s team
From the presence of the sun,
Following darkness like a dream,
Now are frolic. Not a mouse
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—William Shakespeare (1564–1616)
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—Henry David Thoreau (1817–1862)
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Of what one sees, the purpose that comes first,
The surface, is the purpose to be seen,
The property of the moon, what it evokes.”
—Wallace Stevens (1879–1955)