define ring, integral domain and field with suitable example.
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Answer:
Ring Theory/Integral domains and Fields. From Wikibooks, open books for an open world. < Ring Theory. Definition 1: A non zero element 'a' of a commutative ring R is called a zero divisor if there exists some non zero element b in R such that ab=0. For example, in the ring of 2-by-2 matrices, the matrix.
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a small circular band, typically of precious metal and often set with one or more gemstones, worn on a finger as an ornament or a token of marriage, engagement, or authority.
In mathematics, specifically abstract algebra, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. Integral domains are generalizations of the ring of integers and provide a natural setting for studying divisibility.
a particular branch of study or sphere of activity or interest.