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)
“Poetry, whose material is language, is perhaps the most human and least worldly of the arts, the one in which the end product remains closest to the thought that inspired it.... Of all things of thought, poetry is the closest to thought, and a poem is less a thing than any other work of art ...”
—Hannah Arendt (19061975)
“It is clearly better that property should be private, but the use of it common; and the special business of the legislator is to create in men this benevolent disposition.”
—Aristotle (384322 B.C.)
