Reputation
18,398
Next privilege 20,000 Rep.
Access 'trusted user' tools
Badges
2 29 98
Impact
~313k people reached

  • 0 posts edited
  • 0 helpful flags
  • 279 votes cast
Jan
28
awarded  Nice Question
Jan
20
accepted On the relative discriminant of a cyclic extension of an algebraic number field whose relative degree is a prime number
Jan
19
revised On the relative discriminant of a cyclic extension of an algebraic number field whose relative degree is a prime number
added 1 character in body; edited title
Jan
19
asked On the relative discriminant of a cyclic extension of an algebraic number field whose relative degree is a prime number
Jan
18
answered Linear independence in vector spaces of infinite dimension
Jan
12
awarded  Popular Question
Jan
9
comment Ideal theoretic proof of the first inequality of global class field theory
@D_S "but they were probably using local machinery, perhaps disguised." Maybe so, but God is in the details. How do you prove(or disguise) it without using the $\mathfrak p$-adic completion? This is the very point of my question.
Jan
8
awarded  Nice Question
Jan
7
awarded  Popular Question
Jan
5
comment Ideal theoretic proof of the first inequality of global class field theory
@A.P. One reason is that ideals are more concrete and elementary than $\mathfrak p$-adic numbers. For example, ideals are more suitable in concrete calculations. Another reason is that knowing various proofs of a theorem is usually useful for better understanding of the theorem. Finally I'm curious just like you.
Jan
4
awarded  Nice Question
Jan
1
awarded  Guru
Jan
1
comment Ideal theoretic proof of the first inequality of global class field theory
@ReneSchipperus Don't get me wrong. I thanked you for the info.
Dec
31
comment Ideal theoretic proof of the first inequality of global class field theory
@ReneSchipperus Thanks. But it uses the $\mathfrak p$-adic method to prove the theorem.
Dec
30
revised Ideal theoretic proof of the first inequality of global class field theory
deleted 27 characters in body
Dec
30
asked Ideal theoretic proof of the first inequality of global class field theory
Dec
10
comment Cyclic modules over a polynomial ring
@JimBelk "This should be covered in virtually any graduate-level algebra book." I have Bourbaki and Lang on algebra. I'm afraid I cannot find it covered by them. Would you please tell me the names of some books that do so?
Dec
1
awarded  Nice Answer
Nov
29
comment Unramification of a prime ideal in an order of a finite Galois extension of an algebraic number field
@WillemBeek math.stackexchange.com/questions/184423/…
Nov
23
awarded  Yearling