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
Shall disturb this hallowed house.”
—William Shakespeare (1564–1616)
“Humour is the describing the ludicrous as it is in itself; wit is the exposing it, by comparing or contrasting it with something else. Humour is, as it were, the growth of nature and accident; wit is the product of art and fancy.”
—William Hazlitt (1778–1830)
“Thieves respect property. They merely wish the property to become their property that they may more perfectly respect it.”
—Gilbert Keith Chesterton (1874–1936)