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About Math 370 Fields and Galois Theory
This document contains the problem set for Math 370 due on January 21, 2020. It includes 6 problems dealing with topics in abstract algebra, such as integral domains, fields, homomorphisms, and polynomial irreducibility. The solutions provide proofs for statements about these topics. For example, Problem 1 proves that if an element na is equal to 0 in an integral domain D, then D has finite characteristic. Problem 6 proves that the polynomial x^2 + 1 is irreducible over the field of integers mod 11 and that the quotient ring F[x]/(x^2 + 1) is a field with 121 elements.
Detailed Information
| Author: | ['A'] |
|---|---|
| Publication Year: | 2020 |
| Pages: | 2 |
| Language: | English |
| Format: | |
| Price: | FREE |
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