Question

What is group ring and field explain with example?

Answer 1

Step-by-step explanation:

Groups, rings, and fields are familiar objects to us, we just haven't used those terms. ... A RING is a set equipped with two operations, called addition and multiplication. A RING is a GROUP under addition and satisfies some of the properties of a group for multiplication.

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Answer 2

Answer:

A RING is a set equipped with two operations, called addition and multiplication. A RING is a GROUP under addition and satisfies some of the properties of a group for multiplication. A FIELD is a GROUP under both addition and multiplication. Definition 1.