List questions from local-rings

Published on 02 Dec 2019 - 0:31

84

Views

On reduction of ideals

Published on 03 Dec 2019 - 5:57

110

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Dimension of a certain finitely generated quotient module over a local ring.

Published on 05 Dec 2019 - 18:46

205

Views

Prove that for local rings $R,S$, $M_m(R)\cong M_n(S)\implies R\cong S$ and $m=n$

Published on 08 Dec 2019 - 11:34

388

Views

On the prime spectrum of completion of local rings

Published on 22 Mar 2026 - 15:53

38

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$A/m_a \simeq B/m_b$? Where $A,B$ are local rings, $A\subset B$ and $m_a\subset m_b$

Published on 01 Feb 2020 - 2:37

680

Views

Bijection Between Morphisms of Schemes and Local Ring Homomorphisms

Published on 06 Feb 2020 - 16:33

798

Views

What is the local ring of a scheme $X$ along a subvariety $V$: $\mathcal{O}_{V,X}$?

Published on 13 Feb 2020 - 10:59

101

Views

The endomorphism ring of a uniserial module over a right Noetherian ring or a commutative ring is local

Published on 01 Mar 2020 - 6:48

59

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On some basic property of a valuation ring

Published on 08 Mar 2020 - 16:27

35

Views

Is the inclusion of a local $\mathbb R$-subalgebra of the algebra of continuous germs itself local?

Published on 28 Mar 2020 - 19:45

107

Views

smooth morphisms and sheaf of differentials

Published on 31 Mar 2020 - 9:39

76

Views

Does a closed point of a scheme have an affine open environment with the same dimension?

Published on 31 Mar 2020 - 11:04

112

Views

Ring appearing as a quotient of a local ring

Published on 10 Apr 2020 - 11:00

38

Views

Why $R[x,y,z,・・・] /（x^2,y^2,z^2,・・・）$ is $0$ dimmensional?

Published on 11 Apr 2020 - 16:40

List Question

Quotient of a local Cohen-Macaulay ring by a minimal prime

On reduction of ideals

Dimension of a certain finitely generated quotient module over a local ring.

Prove that for local rings $R,S$, $M_m(R)\cong M_n(S)\implies R\cong S$ and $m=n$

On the prime spectrum of completion of local rings

$A/m_a \simeq B/m_b$? Where $A,B$ are local rings, $A\subset B$ and $m_a\subset m_b$

Bijection Between Morphisms of Schemes and Local Ring Homomorphisms

What is the local ring of a scheme $X$ along a subvariety $V$: $\mathcal{O}_{V,X}$?

The endomorphism ring of a uniserial module over a right Noetherian ring or a commutative ring is local

On some basic property of a valuation ring

Is the inclusion of a local $\mathbb R$-subalgebra of the algebra of continuous germs itself local?

smooth morphisms and sheaf of differentials

Does a closed point of a scheme have an affine open environment with the same dimension?

Ring appearing as a quotient of a local ring

Why $R[x,y,z,・・・] /（x^2,y^2,z^2,・・・）$ is $0$ dimmensional?

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