List questions from commutative-algebra

Published on 10 Apr 2026 - 16:57

128

Views

Decomposition of a polynomial over generators of an ideal

Published on 12 Apr 2026 - 0:23

738

Views

Rank of projective module defined as the smallest $n$ such that $P$ is a direct summand of $R^n$

Published on 14 Apr 2026 - 18:29

3k

Views

Ideal Generated by Three Elements in Polynomial Ring

Published on 10 Apr 2026 - 5:47

233

Views

Why does $M\otimes k(\mathfrak{m})=M_\mathfrak{m}/\mathfrak{m}M_\mathfrak{m}$? (From Matsumura, proof of Theorem 4.8.)

Published on 17 Apr 2026 - 8:34

3.8k

Views

Quotient ring of a graded algebra with respect to a graded ideal

Published on 13 Apr 2026 - 2:35

1k

Views

Dense open subsets of schemes

Published on 12 Apr 2026 - 4:19

5.1k

Views

What is a clever proof of Hilbert's basis theorem?

Published on 09 Apr 2026 - 5:52

555

Views

What is wrong with my proof of a step in Artin's construction of algebraic closure?

Published on 11 Apr 2026 - 7:08

85

Views

Localizing at maximal ideals and the product

Published on 15 Apr 2026 - 9:47

143

Views

Polynomials over $\mathbb{F}_2$ with certain values in $\mathbb{F}_4$

Published on 16 Apr 2026 - 0:22

271

Views

Why does Proposition 1.8 in Atiyah-Macdonald imply that the smallest prime $\mathfrak{p}$ containing a primary ideal is equal to its radical?

Published on 15 Apr 2026 - 9:06

177

Views

When is $A = k[x_1,\ldots, x_n]/I$ integrally closed?

Published on 16 Apr 2026 - 12:28

456

Views

Associated primes of the completion of a ring

Published on 14 Apr 2026 - 19:09

233

Views

Do we have $\dim A = \sup_{\operatorname{ht}( \mathfrak{p})=0} \dim A/\mathfrak{p}$?

Published on 16 Apr 2026 - 1:51

List Question

Primality of homogeneous ideal

Decomposition of a polynomial over generators of an ideal

Rank of projective module defined as the smallest $n$ such that $P$ is a direct summand of $R^n$

Ideal Generated by Three Elements in Polynomial Ring

Why does $M\otimes k(\mathfrak{m})=M_\mathfrak{m}/\mathfrak{m}M_\mathfrak{m}$? (From Matsumura, proof of Theorem 4.8.)

Quotient ring of a graded algebra with respect to a graded ideal

Dense open subsets of schemes

What is a clever proof of Hilbert's basis theorem?

What is wrong with my proof of a step in Artin's construction of algebraic closure?

Localizing at maximal ideals and the product

Polynomials over $\mathbb{F}_2$ with certain values in $\mathbb{F}_4$

Why does Proposition 1.8 in Atiyah-Macdonald imply that the smallest prime $\mathfrak{p}$ containing a primary ideal is equal to its radical?

When is $A = k[x_1,\ldots, x_n]/I$ integrally closed?

Associated primes of the completion of a ring

Do we have $\dim A = \sup_{\operatorname{ht}( \mathfrak{p})=0} \dim A/\mathfrak{p}$?

Trending Questions

Popular # Hahtags

Popular Questions