Product of Rings

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

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