Viewing topic: Quotient Ring

See sub-topics for Quotient Ring ... >> Mathematics >> Abstract Algebra >> Quotient Ring

Highest Rated Sign

No video has been submitted for this term

Nobody has posted a sign yet.

Quotient Ring

  • Definition: A quotient ring (also called a residue-class ring) is a ring that is the quotient of a ring A and one of its ideals a, denoted A/a. For example, when the ring A is Z (the integers) and the ideal is 6Z (multiples of 6), the quotient ring is Z_6=Z/6Z. In general, a quotient ring is a set of equivalence classes where [x]=[y] if and only if x-y is in a.

    Source: http://mathworld.wolfram.com

  • There are no comments for this topic.