Makoto Kato's user avatar
Makoto Kato's user avatar
Makoto Kato's user avatar
Makoto Kato
  • Member for 11 years, 11 months
  • Last seen more than 7 years ago
10 votes
4 answers
6k views

Fubini's theorem without completeness or $\sigma$-finiteness conditions

0 votes
1 answer
277 views

Noetherianess of a finite module over a noethrian ring without Axiom of Choice

10 votes
1 answer
2k views

Can we prove that the ring of formal power series over a noetherian ring is noetherian without axiom of choice?

6 votes
2 answers
373 views

On a minimal algebraic number field which satisfies the principal ideal theorem

3 votes
0 answers
1k views

Can we prove an open affine subscheme of a noetherian scheme is noetherian without Axiom of Choice?

4 votes
1 answer
973 views

Can we construct cohomolgy theory on noetherian separated schemes without Axiom of Choice?

0 votes
1 answer
539 views

Non-cohomological proof that a noetherian scheme $X$ is affine if its reduction $X_{red}$ is affine

-1 votes
1 answer
268 views

A characterization of the module function on a locally compact division ring

4 votes
1 answer
600 views

Is the category of quasi-coherent $\mathcal{O}_X$-algebras cocomplete?

5 votes
1 answer
904 views

The biquadratic character of $2$ mod $p$ for a prime of the form $p=4n+1$ [closed]

3 votes
3 answers
553 views

Origin of the theorem on the existence of the smallest field of definition of an affine variety

-2 votes
3 answers
826 views

Books on analytic functions on Banach spaces over a non-Archimedean field

1 vote
2 answers
245 views

Books on real and/or complex analytic functions on Banach spaces taking values in Banach spaces

4 votes
2 answers
2k views

Ideal theoretic proof of the second inequality of global class field theory

3 votes
1 answer
475 views

A finite diagram in an abelian category which may not be locally small

9 votes
2 answers
2k views

Scheme theoretic interpretations of the Weil's foundations of algebraic geometry

4 votes
0 answers
520 views

A proof of a theorem on the different in algebraic number fields

1 vote
0 answers
313 views

A text book on the theory of harmonic integrals on complete Kähler manifolds

7 votes
1 answer
923 views

On elimination of Noetherian conditions in the geometry of schemes

1 vote
0 answers
369 views

Topological definition of intersection multiplicities of algebraic varieties