User Manos

20 votes

Structure of ideals in the product of two rings

ring-theory ideals

answered Feb 11, 2016 at 20:00

39 votes

Accepted

Real life applications of Topology

answered Oct 18, 2011 at 17:14

6 votes

Hartshorne Lemma II.5.3 Proof

algebraic-geometry commutative-algebra quasicoherent-sheaves

answered Jan 9, 2018 at 6:58

0 votes

Hartshorne Corollary III.9.4

algebraic-geometry homology-cohomology

answered Jun 19, 2020 at 10:50

3 votes

Accepted

If $P \in \operatorname{Supp}(M)$ prove that $P$ contains a prime ideal $Q$ with $Q \in \operatorname{Ass}_R(M)$.

commutative-algebra

answered Dec 17, 2014 at 3:30

0 votes

Is $\operatorname{height} \mathfrak{p} + \dim A / \mathfrak{p} = \dim A$ true?

reference-request commutative-algebra krull-dimension dimension-theory-algebra

answered Jan 26, 2020 at 13:14

2 votes

What is a simple definition of the pullback of a section?

algebraic-geometry definition sheaf-theory pullback

answered Jan 24, 2020 at 15:59

9 votes

Idempotents in a local ring

abstract-algebra commutative-algebra ring-theory ideals

answered Mar 24, 2014 at 19:52

7 votes

Accepted

Hartshorne Ex. II 1.16 b) Flasque sheaves and exact sequences

algebraic-geometry sheaf-theory

answered Oct 30, 2019 at 5:27

35 votes

Accepted

Show that the direct sum of a kernel of a projection and its image create the originating vector space.

linear-algebra

answered Dec 18, 2012 at 22:03

4 votes

Accepted

Hilbert polynomial for a dimension zero projective variety by taking an affine chart

algebraic-geometry commutative-algebra projective-geometry hilbert-polynomial

answered Jun 8, 2016 at 18:06

4 votes

Localisation is isomorphic to a quotient of polynomial ring

abstract-algebra ring-theory localization

answered Feb 13, 2015 at 0:46

1 vote

Accepted

Quotient of a polynomial ring and leading terms

commutative-algebra ideals

answered Sep 15, 2015 at 3:39

2 votes

exact sequence of ideal sheaves (Hartshorne Theorem III.3.7)

algebraic-geometry

answered Feb 26, 2018 at 13:45

3 votes

Accepted

Find the associated primes of $(x_0) \cdot (x_0, x_1) \cdot \dots \cdot (x_0, \dots, x_r)$ in $k[x_0, \dots x_r]$

ring-theory commutative-algebra

answered Jul 1, 2017 at 17:46

3 votes

Proposition II.$3.2$ in Hartshorne

algebraic-geometry

answered Apr 19, 2017 at 16:01

5 votes

Accepted

Nilradical of a graded ring

proof-verification commutative-algebra

answered Apr 14, 2017 at 14:26

1 vote

Accepted

map of tangent spaces surjective on an open set

algebraic-geometry

answered Jan 25, 2017 at 4:04

25 votes

Accepted

Union of preimages and preimage of union

functions elementary-set-theory

answered May 5, 2012 at 12:11

1 vote

Accepted

Height of Product of Ideals

commutative-algebra noetherian

answered Oct 25, 2016 at 3:53

2 votes

Accepted

Dimension of graded module

commutative-algebra graded-modules krull-dimension noetherian

answered Feb 10, 2014 at 21:27

2 votes

Accepted

Exercise $2$ from chapter $5$ of Eisenbud's Geometry of Syzygies book

algebraic-geometry commutative-algebra

answered May 4, 2016 at 16:43

3 votes

Accepted

Vector Space as Ideal modulo Ideal?

abstract-algebra vector-spaces modules

answered Sep 25, 2016 at 2:26

1 vote

Accepted

Exact sequence of graded modules and localization

commutative-algebra graded-rings graded-modules

answered May 21, 2016 at 23:05

3 votes

Accepted

General procedure to prove something is a tensor product of modules

commutative-algebra modules tensor-products

answered May 20, 2016 at 1:48

3 votes

Accepted

localized at associated prime of an ideal

commutative-algebra ideals localization

answered May 11, 2016 at 14:46

1 vote

Accepted

Where could I learn basic math terminology?

terminology education

answered Feb 24, 2013 at 17:34

1 vote

Motivation for rings of fractions?

abstract-algebra number-theory algebraic-geometry ring-theory commutative-algebra

answered Apr 16, 2016 at 15:11

1 vote

using smoothness to deduce reducedness

algebraic-geometry commutative-algebra

answered Feb 29, 2016 at 16:40

2 votes

Accepted

the ideal generated by general polynomials is radical

algebraic-geometry commutative-algebra

answered Feb 29, 2016 at 16:19

Stack Exchange Network

current community

your communities

more stack exchange communities

214 Answers

Structure of ideals in the product of two rings

Real life applications of Topology

Hartshorne Lemma II.5.3 Proof

Hartshorne Corollary III.9.4

If $P \in \operatorname{Supp}(M)$ prove that $P$ contains a prime ideal $Q$ with $Q \in \operatorname{Ass}_R(M)$.

Is $\operatorname{height} \mathfrak{p} + \dim A / \mathfrak{p} = \dim A$ true?

What is a simple definition of the pullback of a section?

Idempotents in a local ring

Hartshorne Ex. II 1.16 b) Flasque sheaves and exact sequences

Show that the direct sum of a kernel of a projection and its image create the originating vector space.

Hilbert polynomial for a dimension zero projective variety by taking an affine chart

Localisation is isomorphic to a quotient of polynomial ring

Quotient of a polynomial ring and leading terms

exact sequence of ideal sheaves (Hartshorne Theorem III.3.7)

Find the associated primes of $(x_0) \cdot (x_0, x_1) \cdot \dots \cdot (x_0, \dots, x_r)$ in $k[x_0, \dots x_r]$

Proposition II.$3.2$ in Hartshorne

Nilradical of a graded ring

map of tangent spaces surjective on an open set

Union of preimages and preimage of union

Height of Product of Ideals

Dimension of graded module

Exercise $2$ from chapter $5$ of Eisenbud's Geometry of Syzygies book

Vector Space as Ideal modulo Ideal?

Exact sequence of graded modules and localization

General procedure to prove something is a tensor product of modules

localized at associated prime of an ideal

Where could I learn basic math terminology?

Motivation for rings of fractions?

using smoothness to deduce reducedness

the ideal generated by general polynomials is radical