7.
Prove that every integral domain can be imbedded in a
field.
Answers
Answer:
Step-by-stepA computer is a machine that can be instructed to carry out sequences of arithmetic or logical operations automatically via computer programming. Modern computers have the ability to follow generalized sets of operations, called programs. These programs enable computers to perform an extremely wide range of tasks.
Computer hardware explanation:
Answer:
Yes, the total quotient ring inverts every non-zero-divisor. It is a special case of a localization, which inverts all elements from an arbitrary (saturated) submonoid of the multiplicative group.
An integral domain is a commutative ring with an identity (1 ≠ 0) with no zero-divisors. That is ab = 0 ⇒ a = 0 or b = 0. Examples. The ring Z is an integral domain.
Step-by-step explanation: