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 Hecates team
From the presence of the sun,
Following darkness like a dream,
Now are frolic. Not a mouse
Shall disturb this hallowed house.”
—William Shakespeare (15641616)
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“Abscond. To move in a mysterious way, commonly with the property of another.”
—Ambrose Bierce (18421914)
