Question

Changing basis of indeterminates in polynomial ring

score 169 · Answer 1 · 2026-03-24 06:42:58

169

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Changing basis of indeterminates in polynomial ring

Published on 24 Mar 2026 - 6:42

score 232 · Answer 2 · 2026-03-22 12:31:59

232

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For a non-zero principal ideal $I=(x)$ of a ring of integers of an algebraic number field, $|A/I|=| N_{L|\mathbb Q } (x)|$

Published on 22 Mar 2026 - 12:31

score 1k · Answer 3 · 2026-03-25 14:12:41

1k

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If a multiplicative set contains zero, then $S^{-1}A$ is trivial

Published on 25 Mar 2026 - 14:12

score 52 · Answer 4 · 2026-03-25 14:12:47

52

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If $R = k[x]_{(x)}$, why is $R_{(0)}\cong k(x)$?

Published on 25 Mar 2026 - 14:12

score 247 · Answer 5 · 2018-02-19 01:21:51

247

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Equivalent formulations of Hilbert's Nullstellensatz

Published on 19 Feb 2018 - 1:21

score 89 · Answer 6 · 2018-02-19 09:34:23

89

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Is a prime ideal lying between associated primes also an associated prime?

Published on 19 Feb 2018 - 9:34

score 51 · Answer 7 · 2026-03-23 05:50:20

51

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A local homomorphism that induces a continuous embedding of complete discrete valuation fields

Published on 23 Mar 2026 - 5:50

score 462 · Answer 8 · 2026-03-25 00:04:24

462

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Hessian of a smooth homogeneous polynomial of degree $d \ge 3$ is homogeneous of degree $3(d-2)$?

Published on 25 Mar 2026 - 0:04

score 86 · Answer 9 · 2026-03-25 04:44:19

86

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Field of fractions of $(E \otimes_K F)/p$ and $(E \otimes_K F)/q$ are not isomorphic.

Published on 25 Mar 2026 - 4:44

score 46 · Answer 10 · 2026-03-22 13:02:30

46

Views

Sufficient conditions for testing putative primary and secondary invariants

Published on 22 Mar 2026 - 13:02

score 903 · Answer 11 · 2026-03-25 13:33:23

903

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Radical Ideal in the Coordinate Ring is Intersection of Maximal Ideals

Published on 25 Mar 2026 - 13:33

score 916 · Answer 12 · 2018-02-21 15:58:27

916

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Artinian $k$-vector space $\implies$ finite-dimensional (using dcc)

Published on 21 Feb 2018 - 15:58

score 74 · Answer 13 · 2018-02-22 02:49:06

74

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Is a map given by a function from the ring of global regular functions a morphism?

Published on 22 Feb 2018 - 2:49

score 398 · Answer 14 · 2026-03-22 19:39:13

398

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How to prove that $\dim \mathrm{Spec}~A = \dim \mathrm{Spec}~ A_\mathfrak{p} + \dim \mathrm{Spec}~A/\mathfrak{p}$.

Published on 22 Mar 2026 - 19:39

score 90 · Answer 15 · 2018-02-22 15:26:28

90

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What are the rings of order $8$ that don't have nonzero nilpotent elements?

Published on 22 Feb 2018 - 15:26

List Question

Changing basis of indeterminates in polynomial ring

For a non-zero principal ideal $I=(x)$ of a ring of integers of an algebraic number field, $|A/I|=| N_{L|\mathbb Q } (x)|$

If a multiplicative set contains zero, then $S^{-1}A$ is trivial

If $R = k[x]_{(x)}$, why is $R_{(0)}\cong k(x)$?

Equivalent formulations of Hilbert's Nullstellensatz

Is a prime ideal lying between associated primes also an associated prime?

A local homomorphism that induces a continuous embedding of complete discrete valuation fields

Hessian of a smooth homogeneous polynomial of degree $d \ge 3$ is homogeneous of degree $3(d-2)$?

Field of fractions of $(E \otimes_K F)/p$ and $(E \otimes_K F)/q$ are not isomorphic.

Sufficient conditions for testing putative primary and secondary invariants

Radical Ideal in the Coordinate Ring is Intersection of Maximal Ideals

Artinian $k$-vector space $\implies$ finite-dimensional (using dcc)

Is a map given by a function from the ring of global regular functions a morphism?

How to prove that $\dim \mathrm{Spec}~A = \dim \mathrm{Spec}~ A_\mathfrak{p} + \dim \mathrm{Spec}~A/\mathfrak{p}$.

What are the rings of order $8$ that don't have nonzero nilpotent elements?

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