Product Of Rings
In mathematics, it is possible to combine several rings into one large product ring. This is done as follows: if I is some index set and Ri is a ring for every i in I, then the cartesian product Πi in I Ri can be turned into a ring by defining the operations coordinate-wise.
The resulting ring is called a direct product of the rings Ri. The direct product of finitely many rings coincides with the direct sum of rings.
Read more about Product Of Rings: Examples, Properties
Famous quotes containing the words product of, product and/or rings:
“Culture is a sham if it is only a sort of Gothic front put on an iron building—like Tower Bridge—or a classical front put on a steel frame—like the Daily Telegraph building in Fleet Street. Culture, if it is to be a real thing and a holy thing, must be the product of what we actually do for a living—not something added, like sugar on a pill.”
—Eric Gill (1882–1940)
“Good is a product of the ethical and spiritual artistry of individuals; it cannot be mass-produced.”
—Aldous Huxley (1894–1963)
“We will have rings and things, and fine array,
And kiss me, Kate, we will be married o’ Sunday.”
—William Shakespeare (1564–1616)