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:
“Good is a product of the ethical and spiritual artistry of individuals; it cannot be mass-produced.”
—Aldous Huxley (1894–1963)
“The history is always the same the product is always different and the history interests more than the product. More, that is, more. Yes. But if the product was not different the history which is the same would not be more interesting.”
—Gertrude Stein (1874–1946)
“You held my hand
and were instant to explain
the three rings of danger.”
—Anne Sexton (1928–1974)