$A$ ring, $\mathfrak{m}$ maximal ideal - then $\mathfrak{m}/\mathfrak{m}^2$ is isomorphic to $\mathfrak{m}A_\mathfrak{m}/\mathfrak{m}^2A_\mathfrak{m}$

score 141 · Answer 10 · 2021-02-06 18:37:55

141

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Question on notation in Eisenbud's Commutative Algebra With a View Toward Algebraic Geometry Exercise 2.19(b)

Published on 06 Feb 2021 - 18:37

score 156 · Answer 11 · 2021-02-08 23:51:34

156

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Why are the prime ideals of $R_f$ exactly the prime ideals of $R$ not containing $f$?

Published on 08 Feb 2021 - 23:51

score 34 · Answer 12 · 2026-03-29 08:15:07

34

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When localizing an ideal in a ring of dimension 1, how do you show that you get this?

Published on 29 Mar 2026 - 8:15

score 45 · Answer 13 · 2021-02-11 10:36:39

45

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$K$-derivation $\delta_\alpha: N^{-1}R[x]\to N^{-1}R[x]$ with $\delta_{\alpha}(x)=\alpha$

Published on 11 Feb 2021 - 10:36

score 106 · Answer 14 · 2026-03-29 06:28:54

106

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Integral closure in an extension ring

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score 223 · Answer 15 · 2026-02-23 16:54:33

223

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Relationship Between Power Series ODE Solution Techniques?

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