34 citations · 91 across the 25 of their papers we have counts for
27 papers
Locally finite-dimensional central division algebras over function fields of curves over m-local fields, criterion for normality
Ivan D. Chipchakov
Let be an -local field with an -th residue field , for some integer , and let be a field extension of transcendence degree . The paper u…
On Köthe's normality question for locally finite-dimensional central division algebras
Ivan D. Chipchakov
This paper considers Köthe's question of whether every associative locally finite-dimensional (abbr., LFD) central division algebra over a field is a normally locally finit…
Quasifinite fields of prescribed characteristic and Diophantine dimension
Ivan D. Chipchakov, Boyan Paunov
Let be the set of prime numbers, the union , and for any field , let char be its characteristic, ddim the…
On algebraic central division algebras over Henselian fields of finite absolute Brauer -dimensions and residually arithmetic type
Ivan D. Chipchakov
Let be a Henselian field with a residue field and value group , and let be the set of prime numbers. This paper finds conditions on , $v…
On Fields of dimension one that are Galois extensions of a global or local field
Ivan D. Chipchakov
Let be a global or local field, a Galois extension, and Br the Brauer group of . This paper shows that if is a local field, is its natural discrete valuat…
Fields of dimension one algebraic over a global or local field need not be of type
Ivan D. Chipchakov
Let be a Henselian discrete valued field with a quasifinite residue field. This paper proves the existence of an algebraic extension satisfying the following: (i) $E…