34 citations · 91 across the 25 of their papers we have counts for
5 papers · 2 filters
On the scope of validity of the norm limitation theorem for quasilocal fields
I. D. Chipchakov
Let be a quasilocal field, a finite separable extension, and the maximal abelian subextension of in . The main result of this paper shows that the no…
Norm groups and class fields of formally real quasilocal fields
I. D. Chipchakov
This paper establishes a relationship between finite extensions and norm groups of formally real quasilocal fields, which yields a generally nonabelian local class field theory, in…
Primarily quasilocal fields and 1-dimensional abstract local class field theory
I. D. Chipchakov
Let be a field satisfying the following conditions: (i) the -component of the Brauer group Br is nontrivial whenever is a prime number for which is properly inc…
Class field theory for strictly quasilocal fields with Henselian discrete valuations
I. D. Chipchakov
The paper establishes a relationship between finite separable extensions and norm groups of strictly quasilocal fields with Henselian discrete valuations, which yields a generally…
On the scope of validity of the norm limitation theorem in one-dimensional abstract local class field theory
I. D. Chipchakov
Let be a field, a finite separable extension of , and the maximal abelian subextension of in . The main result of this paper shows that the norm grou…