Course Queries Syllabus Queries 2 years ago
Posted on 16 Aug 2022, this text provides information on Syllabus Queries related to Course Queries. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
The idea is to consider the unique ring homomoprphism
Show this is surjective, and find that the kernel is the principal ideal generated by the minimal polynomial of 2–√ over Q.
This assumes a bit of knowledge. It can be reformulated in more elementary terms, though. Please advise in case.
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manpreet![Tuteehub forum best answer]()
Best Answer
2 years ago
I am reading a syllaref="https://forum.tuteehub.com/tag/b">bus aref="https://forum.tuteehub.com/tag/b">bout Discrete Mathematics. One of the proref="https://forum.tuteehub.com/tag/b">blems encouraged in the syllaref="https://forum.tuteehub.com/tag/b">bus to solve is the following.
Define R={a+ref="https://forum.tuteehub.com/tag/b">b2–√:a,ref="https://forum.tuteehub.com/tag/b">b∈Q}R={a+ref="https://forum.tuteehub.com/tag/b">b2:a,ref="https://forum.tuteehub.com/tag/b">b∈Q} Find ff so ff defines an isomorphism between R and Q[x]/(f)Q[x]/(f). Any ideas on how to tackle this problem?