Difference between revisions of "Math 361, Spring 2022, Assignment 12"
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| + | ==Carefully define the following terms, and give one example and one non-example of each:== |
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| + | # Principal ideal domain (a.k.a. ''PID''). |
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| + | ==Carefully state the following theorems (you do not need to prove them):== |
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| + | # List of units of $F[x]$. |
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| + | # Theorem relating maximal ideals to irreducible elements (in PIDs). |
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| + | # Criterion for $F[x]/\left\langle m\right\rangle$ to be a field. |
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| + | <center><big>'''--------------------End of assignment--------------------'''</big></center> |
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| + | ==Questions:== |
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| + | ==Solutions:== |
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Revision as of 10:29, 12 May 2022
Carefully define the following terms, and give one example and one non-example of each:
- Principal ideal domain (a.k.a. PID).
Carefully state the following theorems (you do not need to prove them):
- List of units of $F[x]$.
- Theorem relating maximal ideals to irreducible elements (in PIDs).
- Criterion for $F[x]/\left\langle m\right\rangle$ to be a field.
