## Chipchakov, Ivan D.

 Author ID: chipchakov.ivan-d Published as: Chipchakov, I. D.; Chipchakov, Ivan D.; Chipchakov, Ivan more...less External Links: MGP
 Documents Indexed: 28 Publications since 1984 Reviewing Activity: 362 Reviews

### Co-Authors

 28 single-authored
all top 5

### Serials

 6 Doklady Bolgarskoĭ Akademii Nauk 4 Journal of Algebra 2 Communications in Algebra 2 Moscow University Mathematics Bulletin 2 Journal of Pure and Applied Algebra 2 Manuscripta Mathematica 2 PLISKA. Studia Mathematica Bulgarica 2 Acta Universitatis Apulensis. Mathematics - Informatics 1 Journal of Number Theory 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Turkish Journal of Mathematics 1 Serdica Mathematical Journal 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică

### Fields

 26 Field theory and polynomials (12-XX) 21 Associative rings and algebras (16-XX) 9 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX)

### Citations contained in zbMATH Open

14 Publications have been cited 47 times in 13 Documents Cited by Year
On the residue fields of Henselian valued stable fields. Zbl 1187.12001
Chipchakov, I. D.
2008
Henselian valued stable fields. Zbl 0919.16010
Chipchakov, I. D.
1998
Henselian valued quasi-local fields with totally indivisible value groups. Zbl 0964.12004
Chipchakov, I. D.
1999
On the classification of central division algebras of linearly bounded degree over global fields and local fields. Zbl 0818.16019
Chipchakov, I. D.
1993
On Brauer $$p$$-dimensions and index-exponent relations over finitely-generated field extensions. Zbl 1337.16015
Chipchakov, I. D.
2015
On Brauer $$p$$-dimensions and absolute Brauer $$p$$-dimensions of Henselian fields. Zbl 1456.16015
Chipchakov, Ivan D.
2019
On the behaviour of Brauer $$p$$-dimensions under finitely-generated field extensions. Zbl 1323.16015
Chipchakov, I. D.
2015
One-dimensional local class field theory for primarily quasilocal fields. Zbl 1057.11061
Chipchakov, I. D.
2004
On the Galois cohomological dimensions of stable fields with Henselian valuation. Zbl 0992.12004
Chipchakov, I. D.
2002
On Henselian valuations and Brauer groups of primarily quasilocal fields. Zbl 1240.12007
Chipchakov, I. D.
2011
Lower bounds and infinity criterion for Brauer $$p$$-dimensions of finitely-generated field extensions. Zbl 1310.16017
Chipchakov, Ivan D.
2013
The normality of locally finite associative division algebras over classical fields. Zbl 0657.16010
Chipchakov, I. D.
1988
Central division algebras of $$p$$-primary dimensions and the $$p$$-component of Brauer group of a $$p$$-quasilocal field. Zbl 1013.12001
Chipchakov, I. D.
2002
On the Brauer $$p$$-dimension of Henselian discrete valued fields of residual characteristic $$p > 0$$. Zbl 07517041
Chipchakov, Ivan D.
2022
On the Brauer $$p$$-dimension of Henselian discrete valued fields of residual characteristic $$p > 0$$. Zbl 07517041
Chipchakov, Ivan D.
2022
On Brauer $$p$$-dimensions and absolute Brauer $$p$$-dimensions of Henselian fields. Zbl 1456.16015
Chipchakov, Ivan D.
2019
On Brauer $$p$$-dimensions and index-exponent relations over finitely-generated field extensions. Zbl 1337.16015
Chipchakov, I. D.
2015
On the behaviour of Brauer $$p$$-dimensions under finitely-generated field extensions. Zbl 1323.16015
Chipchakov, I. D.
2015
Lower bounds and infinity criterion for Brauer $$p$$-dimensions of finitely-generated field extensions. Zbl 1310.16017
Chipchakov, Ivan D.
2013
On Henselian valuations and Brauer groups of primarily quasilocal fields. Zbl 1240.12007
Chipchakov, I. D.
2011
On the residue fields of Henselian valued stable fields. Zbl 1187.12001
Chipchakov, I. D.
2008
One-dimensional local class field theory for primarily quasilocal fields. Zbl 1057.11061
Chipchakov, I. D.
2004
On the Galois cohomological dimensions of stable fields with Henselian valuation. Zbl 0992.12004
Chipchakov, I. D.
2002
Central division algebras of $$p$$-primary dimensions and the $$p$$-component of Brauer group of a $$p$$-quasilocal field. Zbl 1013.12001
Chipchakov, I. D.
2002
Henselian valued quasi-local fields with totally indivisible value groups. Zbl 0964.12004
Chipchakov, I. D.
1999
Henselian valued stable fields. Zbl 0919.16010
Chipchakov, I. D.
1998
On the classification of central division algebras of linearly bounded degree over global fields and local fields. Zbl 0818.16019
Chipchakov, I. D.
1993
The normality of locally finite associative division algebras over classical fields. Zbl 0657.16010
Chipchakov, I. D.
1988
all top 5

### Cited by 6 Authors

 11 Chipchakov, Ivan D. 1 Brussel, Eric S. 1 Elmanto, Elden 1 Hoyois, Marc 1 Iwasa, Ryomei 1 Kelly, Shane P.
all top 5

### Cited in 8 Serials

 3 Journal of Algebra 2 Communications in Algebra 2 Journal of Pure and Applied Algebra 2 Manuscripta Mathematica 1 Advances in Mathematics 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Turkish Journal of Mathematics
all top 5

### Cited in 6 Fields

 11 Field theory and polynomials (12-XX) 8 Associative rings and algebras (16-XX) 5 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX)