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Melnikov, Alexander G.

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Author ID: melnikov.alexander-g Recent zbMATH articles by "Melnikov, Alexander G."
Published as: Melnikov, Alexander G.; Melnikov, Alexander; Melnikov, A. G.; Melnikov, A.
Homepage: http://www.massey.ac.nz/~amelniko/index.html
External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · dblp
Documents Indexed: 58 Publications since 2007, including 1 Book

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 302 times in 109 Documents Cited by Year
Computable functors and effective interpretability. Zbl 1390.03034
Harrison-Trainor, Matthew; Melnikov, Alexander; Miller, Russell; Montalbán, Antonio
21
2017
Algebraic structures computable without delay. Zbl 1418.03151
Kalimullin, Iskander; Melnikov, Alexander; Ng, Keng Meng
20
2017
Effectively categorical abelian groups. Zbl 1315.03054
Downey, Rodney; Melnikov, Alexander G.
19
2013
Limitwise monotonic sequences and degree spectra of structures. Zbl 1408.03028
Kalimullin, Iskander; Khoussainov, Bakhadyr; Melnikov, Alexander
17
2013
Computably isometric spaces. Zbl 1332.03008
Melnikov, Alexander G.
16
2013
Computable abelian groups. Zbl 1345.03065
Melnikov, Alexander G.
13
2014
Computable completely decomposable groups. Zbl 1341.03056
Downey, Rodney; Melnikov, Alexander G.
13
2014
Independence in computable algebra. Zbl 1386.03051
Harrison-Trainor, Matthew; Melnikov, Alexander; Montalbán, Antonio
11
2015
Foundations of online structure theory. Zbl 07087944
Bazhenov, Nikolay; Downey, Rod; Kalimullin, Iskander; Melnikov, Alexander
11
2019
The diversity of categoricity without delay. Zbl 1423.03151
Kalimullin, I. S.; Melnikov, A. G.; Ng, K. M.
10
2017
Computable structures and operations on the space of continuous functions. Zbl 1393.03025
Melnikov, Alexander G.; Ng, Keng Meng
9
2016
Enumerations and completely decomposable torsion-free abelian groups. Zbl 1204.03039
Melnikov, Alexander G.
9
2009
Abelian \(p\)-groups and the halting problem. Zbl 1402.03067
Downey, Rodney; Melnikov, Alexander G.; Ng, Keng Meng
8
2016
The classification problem for compact computable metric spaces. Zbl 1433.03153
Melnikov, Alexander G.; Nies, André
8
2013
Eliminating unbounded search in computable algebra. Zbl 1433.03117
Melnikov, Alexander G.
8
2017
Computable torsion abelian groups. Zbl 06824554
Melnikov, Alexander G.; Ng, Keng Meng
7
2018
Classes of Ulm type and coding rank-homogeneous trees in other structures. Zbl 1241.03042
Fokina, E.; Knight, J. F.; Melnikov, A.; Quinn, S. M.; Safranski, C.
7
2011
Jump degrees of torsion-free abelian groups. Zbl 1273.03142
Andersen, Brooke M.; Kach, Asher M.; Melnikov, Alexander G.; Solomon, Reed
7
2012
On \(\Delta_2^0\)-categoricity of equivalence relations. Zbl 1386.03050
Downey, Rod; Melnikov, Alexander G.; Ng, Keng Meng
6
2015
Decidability and computability of certain torsion-free abelian groups. Zbl 1211.03063
Downey, Rodney G.; Goncharov, Sergei S.; Kach, Asher M.; Knight, Julia F.; Kudinov, Oleg V.; Melnikov, Alexander G.; Turetsky, Daniel
6
2010
Computable ordered abelian groups and fields. Zbl 1286.03145
Melnikov, Alexander G.
6
2010
Iterated effective embeddings of abelian \(p\)-groups. Zbl 1339.03034
Downey, Rod; Melnikov, Alexander G.; Ng, Keng Meng
6
2014
The back-and-forth method and computability without delay. Zbl 07143835
Melnikov, Alexander G.; Ng, Keng Meng
6
2019
Computable Polish group actions. Zbl 06915708
Melnikov, Alexander; Montalbán, Antonio
5
2018
Graphs are not universal for online computability. Zbl 07210414
Downey, Rodney; Harrison-Trainor, Matthew; Kalimullin, Iskander; Melnikov, Alexander; Turetsky, Daniel
5
2020
New degree spectra of abelian groups. Zbl 1423.03152
Melnikov, Alexander G.
4
2017
Computable topological groups and Pontryagin duality. Zbl 06958206
Melnikov, Alexander
4
2018
\(K\)-triviality in computable metric spaces. Zbl 1271.03059
Melnikov, Alexander; Nies, André
4
2013
Uniform procedures in uncountable structures. Zbl 06915712
Greenberg, Noam; Melnikov, Alexander G.; Knight, Julia F.; Turetsky, Daniel
4
2018
Computability of distributive lattices. Zbl 06862419
Bazhenov, N. A.; Frolov, A. N.; Kalimullin, I. Sh.; Melnikov, A. G.
4
2017
A Friedberg enumeration of equivalence structures. Zbl 1423.03153
Downey, Rodney G.; Melnikov, Alexander G.; Ng, Keng Meng
3
2017
Punctual categoricity and universality. Zbl 07333589
Downey, Rod; Greenberg, Noam; Melnikov, Alexander; Meng Ng, Keng; Turetsky, Daniel
3
2020
Torsion-free abelian groups with optimal Scott families. Zbl 06887312
Melnikov, Alexander G.
3
2018
\(\mathbf 0''\)-categorical completely decomposable torsion-free abelian groups. Zbl 1268.03042
Melnikov, Alexander G.
2
2009
Decompositions of decidable abelian groups. Zbl 07167884
Bazhenov, Nikolay; Goncharov, Sergey; Melnikov, Alexander
2
2020
Online presentations of finitely generated structures. Zbl 1464.68443
Bazhenov, Nikolay; Kalimullin, Iskander; Melnikov, Alexander; Ng, Keng Meng
2
2020
A structure of punctual dimension two. Zbl 1442.03024
Melnikov, Alexander; Ng, Keng Meng
2
2020
On computable field embeddings and difference closed fields. Zbl 1423.03149
Harrison-Trainor, Matthew; Melnikov, Alexander; Miller, Russell
1
2017
Effectively closed subgroups of the infinite symmetric group. Zbl 06963449
Greenberg, Noam; Melnikov, Alexander; Nies, Andre; Turetsky, Daniel
1
2018
Comparing classes of finite sums. Zbl 1375.03034
Andrews, U.; Dushenin, D. I.; Hill, C.; Knight, J. F.; Melnikov, Alexander G.
1
2016
Computability and complexity. Essays dedicated to Rodney G. Downey on the occasion of his 60th birthday. Zbl 1352.03004
Day, Adam (ed.); Fellows, Michael (ed.); Greenberg, Noam (ed.); Khoussainov, Bakhadyr (ed.); Melnikov, Alexander (ed.); Rosamond, Frances (ed.)
1
2017
Transforming trees into abelian groups. Zbl 1260.05037
Melnikov, Alexander G.
1
2011
Categorical linearly ordered structures. Zbl 1435.03076
Downey, Rod; Melnikov, Alexander; Ng, Keng Meng
1
2019
On the complexity of classifying Lebesgue spaces. Zbl 07326441
Brown, Tyler A.; Mcnicholl, Timothy H.; Melnikov, Alexander G.
1
2020
Computability of Polish spaces up to homeomorphism. Zbl 07333598
Harrison-Trainor, Matthew; Melnikov, Alexander; Meng Ng, Keng
1
2020
Enumerating abelian \(p\)-groups. Zbl 1457.03060
Downey, Rod; Melnikov, Alexander; Ng, Keng Meng
1
2020
Punctual copies of algebraic structures. Zbl 07209909
Zubkov, M. V.; Kalimullin, I. Sh.; Melnikov, A. G.; Frolov, A. N.
1
2019
On a question of Kalimullin. Zbl 06880237
Downey, Rod; Igusa, Gregory; Melnikov, Alexander
1
2018
Graphs are not universal for online computability. Zbl 07210414
Downey, Rodney; Harrison-Trainor, Matthew; Kalimullin, Iskander; Melnikov, Alexander; Turetsky, Daniel
5
2020
Punctual categoricity and universality. Zbl 07333589
Downey, Rod; Greenberg, Noam; Melnikov, Alexander; Meng Ng, Keng; Turetsky, Daniel
3
2020
Decompositions of decidable abelian groups. Zbl 07167884
Bazhenov, Nikolay; Goncharov, Sergey; Melnikov, Alexander
2
2020
Online presentations of finitely generated structures. Zbl 1464.68443
Bazhenov, Nikolay; Kalimullin, Iskander; Melnikov, Alexander; Ng, Keng Meng
2
2020
A structure of punctual dimension two. Zbl 1442.03024
Melnikov, Alexander; Ng, Keng Meng
2
2020
On the complexity of classifying Lebesgue spaces. Zbl 07326441
Brown, Tyler A.; Mcnicholl, Timothy H.; Melnikov, Alexander G.
1
2020
Computability of Polish spaces up to homeomorphism. Zbl 07333598
Harrison-Trainor, Matthew; Melnikov, Alexander; Meng Ng, Keng
1
2020
Enumerating abelian \(p\)-groups. Zbl 1457.03060
Downey, Rod; Melnikov, Alexander; Ng, Keng Meng
1
2020
Foundations of online structure theory. Zbl 07087944
Bazhenov, Nikolay; Downey, Rod; Kalimullin, Iskander; Melnikov, Alexander
11
2019
The back-and-forth method and computability without delay. Zbl 07143835
Melnikov, Alexander G.; Ng, Keng Meng
6
2019
Categorical linearly ordered structures. Zbl 1435.03076
Downey, Rod; Melnikov, Alexander; Ng, Keng Meng
1
2019
Punctual copies of algebraic structures. Zbl 07209909
Zubkov, M. V.; Kalimullin, I. Sh.; Melnikov, A. G.; Frolov, A. N.
1
2019
Computable torsion abelian groups. Zbl 06824554
Melnikov, Alexander G.; Ng, Keng Meng
7
2018
Computable Polish group actions. Zbl 06915708
Melnikov, Alexander; Montalbán, Antonio
5
2018
Computable topological groups and Pontryagin duality. Zbl 06958206
Melnikov, Alexander
4
2018
Uniform procedures in uncountable structures. Zbl 06915712
Greenberg, Noam; Melnikov, Alexander G.; Knight, Julia F.; Turetsky, Daniel
4
2018
Torsion-free abelian groups with optimal Scott families. Zbl 06887312
Melnikov, Alexander G.
3
2018
Effectively closed subgroups of the infinite symmetric group. Zbl 06963449
Greenberg, Noam; Melnikov, Alexander; Nies, Andre; Turetsky, Daniel
1
2018
On a question of Kalimullin. Zbl 06880237
Downey, Rod; Igusa, Gregory; Melnikov, Alexander
1
2018
Computable functors and effective interpretability. Zbl 1390.03034
Harrison-Trainor, Matthew; Melnikov, Alexander; Miller, Russell; Montalbán, Antonio
21
2017
Algebraic structures computable without delay. Zbl 1418.03151
Kalimullin, Iskander; Melnikov, Alexander; Ng, Keng Meng
20
2017
The diversity of categoricity without delay. Zbl 1423.03151
Kalimullin, I. S.; Melnikov, A. G.; Ng, K. M.
10
2017
Eliminating unbounded search in computable algebra. Zbl 1433.03117
Melnikov, Alexander G.
8
2017
New degree spectra of abelian groups. Zbl 1423.03152
Melnikov, Alexander G.
4
2017
Computability of distributive lattices. Zbl 06862419
Bazhenov, N. A.; Frolov, A. N.; Kalimullin, I. Sh.; Melnikov, A. G.
4
2017
A Friedberg enumeration of equivalence structures. Zbl 1423.03153
Downey, Rodney G.; Melnikov, Alexander G.; Ng, Keng Meng
3
2017
On computable field embeddings and difference closed fields. Zbl 1423.03149
Harrison-Trainor, Matthew; Melnikov, Alexander; Miller, Russell
1
2017
Computability and complexity. Essays dedicated to Rodney G. Downey on the occasion of his 60th birthday. Zbl 1352.03004
Day, Adam; Fellows, Michael; Greenberg, Noam; Khoussainov, Bakhadyr; Melnikov, Alexander; Rosamond, Frances
1
2017
Computable structures and operations on the space of continuous functions. Zbl 1393.03025
Melnikov, Alexander G.; Ng, Keng Meng
9
2016
Abelian \(p\)-groups and the halting problem. Zbl 1402.03067
Downey, Rodney; Melnikov, Alexander G.; Ng, Keng Meng
8
2016
Comparing classes of finite sums. Zbl 1375.03034
Andrews, U.; Dushenin, D. I.; Hill, C.; Knight, J. F.; Melnikov, Alexander G.
1
2016
Independence in computable algebra. Zbl 1386.03051
Harrison-Trainor, Matthew; Melnikov, Alexander; Montalbán, Antonio
11
2015
On \(\Delta_2^0\)-categoricity of equivalence relations. Zbl 1386.03050
Downey, Rod; Melnikov, Alexander G.; Ng, Keng Meng
6
2015
Computable abelian groups. Zbl 1345.03065
Melnikov, Alexander G.
13
2014
Computable completely decomposable groups. Zbl 1341.03056
Downey, Rodney; Melnikov, Alexander G.
13
2014
Iterated effective embeddings of abelian \(p\)-groups. Zbl 1339.03034
Downey, Rod; Melnikov, Alexander G.; Ng, Keng Meng
6
2014
Effectively categorical abelian groups. Zbl 1315.03054
Downey, Rodney; Melnikov, Alexander G.
19
2013
Limitwise monotonic sequences and degree spectra of structures. Zbl 1408.03028
Kalimullin, Iskander; Khoussainov, Bakhadyr; Melnikov, Alexander
17
2013
Computably isometric spaces. Zbl 1332.03008
Melnikov, Alexander G.
16
2013
The classification problem for compact computable metric spaces. Zbl 1433.03153
Melnikov, Alexander G.; Nies, André
8
2013
\(K\)-triviality in computable metric spaces. Zbl 1271.03059
Melnikov, Alexander; Nies, André
4
2013
Jump degrees of torsion-free abelian groups. Zbl 1273.03142
Andersen, Brooke M.; Kach, Asher M.; Melnikov, Alexander G.; Solomon, Reed
7
2012
Classes of Ulm type and coding rank-homogeneous trees in other structures. Zbl 1241.03042
Fokina, E.; Knight, J. F.; Melnikov, A.; Quinn, S. M.; Safranski, C.
7
2011
Transforming trees into abelian groups. Zbl 1260.05037
Melnikov, Alexander G.
1
2011
Decidability and computability of certain torsion-free abelian groups. Zbl 1211.03063
Downey, Rodney G.; Goncharov, Sergei S.; Kach, Asher M.; Knight, Julia F.; Kudinov, Oleg V.; Melnikov, Alexander G.; Turetsky, Daniel
6
2010
Computable ordered abelian groups and fields. Zbl 1286.03145
Melnikov, Alexander G.
6
2010
Enumerations and completely decomposable torsion-free abelian groups. Zbl 1204.03039
Melnikov, Alexander G.
9
2009
\(\mathbf 0''\)-categorical completely decomposable torsion-free abelian groups. Zbl 1268.03042
Melnikov, Alexander G.
2
2009
all top 5

Cited by 91 Authors

41 Melnikov, Alexander G.
18 Ng, KengMeng
17 Kalimullin, Iskander Shagitovich
15 Bazhenov, Nikolaĭ Alekseevich
15 Downey, Rodney Graham
10 Harrison-Trainor, Matthew
7 Greenberg, Noam
6 Miller, Russell G.
6 Montalbán, Antonio
5 Knight, Julia F.
5 McNicholl, Timothy H.
5 Turetsky, Daniel D.
4 Frolov, Andrey N.
4 Nies, André Otfrid
3 Andrews, Uri
3 Fokina, Ekaterina B.
3 Kornev, Ruslan Aleksandrovich
3 Solomon, Reed
2 Alaev, Pavel Evgenievich
2 Brown, Tyler A.
2 Harizanov, Valentina S.
2 Igusa, Gregory
2 Iljazović, Zvonko
2 Kach, Asher M.
2 Lange, Karen
2 Rossegger, Dino
2 Selivanov, Viktor L’vovich
2 Turetsky, Dan
2 Zainetdinov, Damir Kh.
2 Zubkov, Maxim V.
1 Andersen, Brooke M.
1 Avdeev, R. R.
1 Badaev, Serikzhan A.
1 Becker, Howard S.
1 Bienvenu, Laurent
1 Blinov, K. V.
1 Boyadzhiyska, Simona
1 Burnik, Konrad
1 Cai, Mingzhong
1 Calvert, Wesley
1 Carson, Jacob
1 Cenzer, Douglas
1 Chubb, Jennifer
1 Conidis, Chris J.
1 Dorzhieva, Marina Valerianovna
1 Dushenin, D. I.
1 Faĭzrahmanov, Marat Khaidarovich
1 Franklin, Johanna N. Y.
1 Friedman, Sy-David
1 Gavryushkin, Alexander
1 Goldbring, Isaac
1 Goncharov, Sergeĭ Savost’yanovich
1 Hirschfeldt, Denis Roman
1 Hirst, Jeffry Lynn
1 Ho, Meng-Che “Turbo”
1 Issakhov, A. A.
1 Jockusch, Carl G. jun.
1 Kalmurzaev, Birzhan S.
1 Khisamiev, Nazif Garrifullinovich
1 Khoussainov, Bakhadyr M.
1 Kihara, Takayuki
1 Kotov, Matvei
1 Latkin, Ivan V.
1 Lempp, Steffen
1 McCoy, Charles F. D.
1 Melkinov, Alexander
1 Merkle, Wolfgang
1 Miller, Joseph S.
1 Morozov, Andreĭ Sergeevich
1 Mummert, Carl
1 Ocasio-González, Víctor A.
1 Poonen, Bjorn
1 Puzarenko, Vadim G.
1 Remmel, Jeffrey B.
1 Riggs, Kyle
1 Rute, Jason
1 San Mauro, Luca
1 Scanlon, R.
1 Schoutens, Hans
1 Schupp, Paul E.
1 Sen, Yang
1 Shlapentokh, Alexandra
1 Solecki, Sławomir
1 Soskova, Alexandra A.
1 Tukhbatullina, R. R.
1 Validžić, Lucija
1 Vatev, Stefan V.
1 Wallbaum, John
1 Westrick, Linda Brown
1 Yamaleev, Mars Mansurovich
1 Yu, Hongyuan

Citations by Year