Question

Definition of $k$-rational points on an algebraic set

score 60 · Answer 1 · 2023-04-30 15:59:34

60

Views

Definition of $k$-rational points on an algebraic set

Published on 30 Apr 2023 - 15:59

score 89 · Answer 2 · 2023-05-04 21:27:20

89

Views

Local ring of polynomials and intersection theory

Published on 04 May 2023 - 21:27

score 142 · Answer 3 · 2023-05-23 18:34:48

142

Views

stalk isomorphism + homeomorphism = isomorphism of varieties

Published on 23 May 2023 - 18:34

score 31 · Answer 4 · 2026-02-23 10:20:29

31

Views

Lifting Idempotents in McDonald's Finite Rings w/ Identity Theorem XIV.3

Published on 23 Feb 2026 - 10:20

score 65 · Answer 5 · 2026-03-25 06:07:12

65

Views

When $R/I \cong S/J$, where $R$ is Cohen-Macaulay, $S$ is regular local and $ht(J)=\mu(J)$

Published on 25 Mar 2026 - 6:07

score 97 · Answer 6 · 2026-02-23 04:03:32

97

Views

If $M\cong N \oplus k^{\oplus a}$, where $a=\dim_k \dfrac{soc(M)}{soc(M)\cap \mathfrak m M }$, then $k$ is not a direct summand of $N$?

Published on 23 Feb 2026 - 4:03

score 66 · Answer 7 · 2023-06-10 08:13:22

66

Views

Quotient of the polynomial ring over a local noetherian ring is finitely generated?

Published on 10 Jun 2023 - 8:13

score 98 · Answer 8 · 2023-06-29 16:43:22

98

Views

Multiplicity of intersection of $y^2=x^3$ and $x^2=y^3$ at the origin

Published on 29 Jun 2023 - 16:43

score 37 · Answer 9 · 2023-07-06 17:19:00

37

Views

Determine whether a ring is local

Published on 06 Jul 2023 - 17:19

score 69 · Answer 10 · 2026-02-23 09:50:50

69

Views

$1$-dimensional reduced local ring $R$ such that $(R:_{Q(R)} \overline R)$ is non-zero and consists of zero-divisors

Published on 23 Feb 2026 - 9:50

score 27 · Answer 11 · 2026-03-25 14:36:40

27

Views

Connection between heights of $(U:_R E)$ and $(ann(E):_R ann(U))$ for torsion-free modules $U\subseteq E$ of constant rank

Published on 25 Mar 2026 - 14:36

score 51 · Answer 12 · 2023-07-23 16:51:41

51

Views

A sort of "minimal presentation " for a local ring essentially of finite type over a field

Published on 23 Jul 2023 - 16:51

score 73 · Answer 13 · 2026-03-20 08:49:34

73

Views

Finiteness of the homology of the Koszul complex

Published on 20 Mar 2026 - 8:49

score 36 · Answer 14 · 2023-08-13 00:22:20

36

Views

Prolongation valuation of non-complete valued field

Published on 13 Aug 2023 - 0:22

score 26 · Answer 15 · 2023-09-05 02:03:31

26

Views

On Elkik's Theorem of Henselian pair.

Published on 05 Sep 2023 - 2:03

List Question

Definition of $k$-rational points on an algebraic set

Local ring of polynomials and intersection theory

stalk isomorphism + homeomorphism = isomorphism of varieties

Lifting Idempotents in McDonald's Finite Rings w/ Identity Theorem XIV.3

When $R/I \cong S/J$, where $R$ is Cohen-Macaulay, $S$ is regular local and $ht(J)=\mu(J)$

If $M\cong N \oplus k^{\oplus a}$, where $a=\dim_k \dfrac{soc(M)}{soc(M)\cap \mathfrak m M }$, then $k$ is not a direct summand of $N$?

Quotient of the polynomial ring over a local noetherian ring is finitely generated?

Multiplicity of intersection of $y^2=x^3$ and $x^2=y^3$ at the origin

Determine whether a ring is local

$1$-dimensional reduced local ring $R$ such that $(R:_{Q(R)} \overline R)$ is non-zero and consists of zero-divisors

Connection between heights of $(U:_R E)$ and $(ann(E):_R ann(U))$ for torsion-free modules $U\subseteq E$ of constant rank

A sort of "minimal presentation " for a local ring essentially of finite type over a field

Finiteness of the homology of the Koszul complex

Prolongation valuation of non-complete valued field

On Elkik's Theorem of Henselian pair.

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