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elias001
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@fresh_42 your post #6 points 2.)-4.) is where you try to shown that statement?
Undergrad ##(A/\mathfrak{a})_{\mathfrak{p}/\mathfrak{a}}## and its isomorphism?
- Thread starter elias001
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The discussion centers on the proof of Proposition 2.1.1, exploring the possibility of using the first isomorphism theorem to establish an isomorphism between certain localizations of rings. The proposed map from the localization at a prime ideal to the quotient of a localization is examined, with emphasis on its kernel and surjectivity. Questions arise regarding the mapping of prime ideals and the nature of contraction maps in the context of localization. Clarifications are sought on the mathematical notation and implications of the propositions cited, particularly concerning the maximal ideal structure and the bijection between prime ideals. The conversation highlights the intricacies of localization in algebraic structures and the foundational propositions that support these concepts.
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