Question

सिद्ध कीजिये कि प्रत्येक क्षेत्र एक पूर्णाकीय डोमेन है
Prove that every field is an integral domain ​

Answer 1

Answer:

A field is a commutative ring with identity (1 ≠ 0) in which every non-zero element has a multiplicative inverse. The rings Q, R, C are fields. If a, b are elements of a field with ab = 0 then if a ≠ 0 it has an inverse a-1 and so multiplying both sides by this gives b = 0. ... Every field is an integral domain.

Step-by-step explanation:

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