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:
“For man is not the creature and product of Mechanism; but, in a far truer sense, its creator and producer.”
—Thomas Carlyle (1795–1881)
“In fast-moving, progress-conscious America, the consumer expects to be dizzied by progress. If he could completely understand advertising jargon he would be badly disappointed. The half-intelligibility which we expect, or even hope, to find in the latest product language personally reassures each of us that progress is being made: that the pace exceeds our ability to follow.”
—Daniel J. Boorstin (b. 1914)
“You held my hand
and were instant to explain
the three rings of danger.”
—Anne Sexton (1928–1974)