Manos's user avatar
Manos's user avatar
Manos's user avatar
Manos
  • Member for 12 years, 9 months
  • Last seen more than 1 year ago
37 votes
2 answers
15k views

Proof that two bases of a vector space have the same cardinality in the infinite-dimensional case.

21 votes
4 answers
6k views

Is the group of units of a finite ring cyclic?

21 votes
2 answers
3k views

Topology induced by the completion of a topological group

21 votes
2 answers
2k views

Usefulness of completion in commutative algebra

20 votes
3 answers
8k views

Tensor product of a module with an ideal is isomorphic to their standard product

15 votes
3 answers
7k views

Relation between left and right coset representatives of a subgroup

14 votes
1 answer
2k views

Gaining insight into the Inverse Image Sheaf

14 votes
4 answers
10k views

Conjugacy classes of non-Abelian group of order $p^3$

13 votes
2 answers
5k views

Every point closed $\stackrel{?}{\Rightarrow}$ space is Hausdorff

13 votes
1 answer
3k views

Testing whether an element of a tensor product of modules is zero

12 votes
2 answers
1k views

defining a dominant rational map from an algebra homomorphism (Theorem I 4.4 in Hartshorne)

12 votes
2 answers
685 views

Zorn's Lemma and Injective Modules

12 votes
1 answer
7k views

Definition of the Ideal Sheaf

12 votes
2 answers
2k views

Is there any relation of injective modules to free modules?

12 votes
3 answers
2k views

Example I.4.9.1 in Hartshorne (blowing-up)

11 votes
2 answers
3k views

What is exactly "Algebraic Dynamics"?

11 votes
2 answers
4k views

Zorn's Lemma: Why maximal and not minimal?

11 votes
3 answers
1k views

every field of characteristic 0 has a discrete valuation ring?

10 votes
4 answers
2k views

dimension of a coordinate ring

10 votes
2 answers
3k views

Tor Functor Commutes with Direct Limits

10 votes
1 answer
4k views

Direct Sum/Product of Flat Modules

10 votes
2 answers
5k views

Constant Presheaf not necessarily a sheaf. Proof?

10 votes
2 answers
941 views

Localization Notation in Hartshorne

10 votes
1 answer
1k views

Bourbaki Proof of Zorn's Lemma in Lang's Algebra

10 votes
3 answers
522 views

How to prove that $(M \oplus N) \otimes P$ is isomorphic to $(M \otimes P) \oplus (N \otimes P)$?

10 votes
1 answer
868 views

Hartshorne Problem I.3.20

10 votes
1 answer
4k views

is the empty set an (irreducible) variety?

10 votes
1 answer
2k views

Algebraic independence via the Jacobian

9 votes
6 answers
8k views

Irreducibility of $x^5 -x -1$ by reduction mod 5

9 votes
2 answers
1k views

Example II.6.5.2 in Hartshorne (Part I)

1
2 3 4 5
15