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2748 solutionsShow that the set of all constant polynomials in is a subring but not an ideal in .
Show that the map that sends each polynomial to its constant term is a surjective homomorphism.
If is an ideal in a field , prove that or .
List the distinct principal ideals in each ring :
List the distinct principal ideals in
Suppose and are ideals in a ring and let be the function defined by
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