Show that an integral domain with 6 element does not exist

1.	Show that an integral domain with 6 element does not exist
Answer» There is an integral domain with n ELEMENTS if and only if n is a POWER of a FACTOR. There is no integral domain with 6 elements because 6 is not a prime power. Because R is null and Thus there exist positive integers n > m with RN = rm. We must show that a is not a zero DIVISOR.

Answer»

There is an integral domain with n ELEMENTS if and only if n is a POWER of a FACTOR.

There is no integral domain with 6 elements because 6 is not a prime power.

Because R is null and Thus there exist positive integers n > m with RN = rm. We must show that a is not a zero DIVISOR.

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