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)
“For man is not the creature and product of Mechanism; but, in a far truer sense, its creator and producer.”
—Thomas Carlyle (1795–1881)
“We will have rings and things, and fine array,
And kiss me, Kate, we will be married o’ Sunday.”
—William Shakespeare (1564–1616)