Edit Profile (opens in new tab) Arslanov, Marat M. Co-Author Distance Author ID: arslanov.marat-m Published as: Arslanov, M. M.; Arslanov, Marat M.; Arslanov, Marat; Arslanov, M. more...less External Links: MGP · ORCID · Wikidata · GND · IdRef Documents Indexed: 60 Publications since 1970, including 3 Books 4 Contributions as Editor · 1 Further Contribution Reviewing Activity: 97 Reviews Co-Authors: 27 Co-Authors with 26 Joint Publications 634 Co-Co-Authors all top 5 Co-Authors 37 single-authored 8 Kalimullin, Iskander Shagitovich 5 Cooper, Stuart Barry 4 Lempp, Steffen 4 Yamaleev, Mars Mansurovich 2 Batyrshin, Ilnur I. 2 Kehayopulu, Niovi 2 Omanadze, Roland Sh. 2 Shore, Richard Arnold 2 Solov’ëv, V. D. 2 Sorbi, Andrea 2 Soskova, Mariya Ivanova 1 Akhbari, Mohammad Hadi 1 Aksent’ev, Leonid Aleksandrovich 1 Bikchentaev, Aĭrat Midkhatovich 1 Chong, Chi Tat 1 Fomin, Viktor Egorovich 1 Gabdulkhaev, Bilsur Gabdulkhaevich 1 Klokov, V. V. 1 LaForte, Geoffrey L. 1 Li, Angsheng 1 Movahedi, Fateme 1 Nadyrov, R. F. 1 Nasyrov, Semen R. 1 Parshin, Alekseĭ Nikolaevich 1 Shafarevich, Igor’ Rostislavovich 1 Sherstnev, Anatolij N. 1 Slaman, Theodore A. 1 Soare, Robert I. 1 Yang, Yue 1 Zhegalov, Valentin Ivanovich all top 5 Serials 5 Russian Mathematics 5 Lobachevskii Journal of Mathematics 4 Algebra and Logic 3 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 3 Soviet Mathematics 3 Annals of Pure and Applied Logic 3 Veroyatnostnye Metody i Kibernetika 2 Mathematical Notes 2 Algebra i Logika 2 The Journal of Symbolic Logic 2 Journal of Logic and Computation 1 Illinois Journal of Mathematics 1 Soviet Mathematics. Doklady 1 Theoretical Computer Science 1 Archive for Mathematical Logic 1 Journal of Mathematical Sciences (New York) 1 Mathematical Logic Quarterly (MLQ) 1 Proceedings of the Steklov Institute of Mathematics 1 De Gruyter Series in Logic and Its Applications 1 Asian-European Journal of Mathematics all top 5 Fields 60 Mathematical logic and foundations (03-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 162 times in 100 Documents Cited by ▼ Year ▼ On some generalizations of a fixed point theorem. Zbl 0523.03029 Arslanov, M. M. 19 1981 On isolating r.e. and isolated d-r.e. degrees. Zbl 0839.03024 Arslanov, Marat M.; Lempp, Steffen; Shore, Richard A. 14 1996 Splitting properties of total enumeration degrees. Zbl 1032.03037 Arslanov, M. M.; Kalimullin, I. Sh.; Cooper, S. Barry 13 2003 On the lattice of degrees below 0’. Zbl 0665.03034 Arslanov, M. M. 12 1988 On Downey’s conjecture. Zbl 1192.03017 Arslanov, Marat M.; Kalimullin, Iskander Sh.; Lempp, Steffen 12 2010 Relative enumerability in the difference hierarchy. Zbl 0911.03021 Arslanov, Marat M.; LaForte, Geoffrey L.; Slaman, Theodore A. 12 1998 The Ershov hierarchy. Zbl 1279.03067 Arslanov, Marat M. 9 2011 There is no low maximal d. c. e. degree. Zbl 0967.03037 Arslanov, Marat; Cooper, S. Barry; Li, Angsheng 9 2000 Q-degrees of \(n\)-c.e. sets. Zbl 1147.03023 Arslanov, M. M.; Omanadze, R. Sh. 6 2007 Recursively enumerable sets and degrees of unsolvability. (Рекурсивно перечислимые множества и степени неразрешимости.) Zbl 0648.03028 Arslanov, M. M. 5 1986 Interpolating \(d\)-r.e. and REA degrees between r.e. degrees. Zbl 0855.03025 Arslanov, Marat; Lempp, Steffen; Shore, Richard A. 5 1996 A note on minimal and maximal ideals of ordered semigroups. Zbl 1015.06015 Arslanov, M.; Kehayopulu, N. 5 2002 Recursively enumerable sets and degrees. A study of computable functions and computably generated sets. Translated from the English. Translation edited and with a preface by M. M. Arslanov. (Vychislimo perechislimye mnozhestva i stepeni. Izuchenie vychislimykh funktsij vychislimo perechislimykh mnozhestv.) Zbl 0995.03031 Soare, Robert I. 4 2000 Relative splittings of \(\mathbf 0_e\prime\) in the \(\Delta_2^0\)-enumeration degrees. Zbl 0951.03034 Arslanov, Marat M.; Sorbi, Andrea 4 2000 Density results in the \(\Delta_2^0\) e-degrees. Zbl 1042.03033 Arslanov, Marat M.; Kalimullin, Iskander Sh.; Sorbi, Andrea 4 2001 Completeness in the arithmetical hierarchy and fixed points. Zbl 0692.03030 Arslanov, M. M. 3 1989 A criterion for the completeness of recursively enumerable sets and some generalizations of the fixed point theorem. Zbl 0358.02046 Arslanov, M. M.; Nadyrov, R. F.; Solov’ev, V. D. 3 1977 Structural properties of \(Q\)-degrees of n-c.e. sets. Zbl 1154.03023 Arslanov, M. M.; Batyrshin, I. I.; Omanadze, R. Sh. 3 2008 Completeness in the arithmetical hierarchy and fixed points. Zbl 0687.03026 Arslanov, M. M. 2 1989 Splitting and nonsplitting in the \(\Sigma_2^0\) enumeration degrees. Zbl 1251.03045 Arslanov, M. M.; Cooper, S. B.; Kalimullin, I. Sh.; Soskova, M. I. 2 2011 Recursion theory and complexity. Proceedings of the Kazan ’97 workshop, Kazan, Russia, July 14–19, 1997. Zbl 0923.00014 2 1999 Definability and elementary equivalence in the Ershov difference hierarchy. Zbl 1191.03029 Arslanov, Marat M. 2 2009 Degree structures in local degree theory. Zbl 0884.03045 Arslanov, Marat 2 1997 On the problem of definability of the computably enumerable degrees in the difference hierarchy. Zbl 1477.03161 Arslanov, M. M.; Yamaleev, M. M. 2 2018 Definable relations in Turing degree structures. Zbl 1327.03032 Arslanov, Marat M. 2 2013 On the doubly connected domination polynomial of a graph. Zbl 1414.05150 Akhbari, M. H.; Movahedi, F.; Arslanov, M. 2 2019 Lattice of degrees below \(O'\). Zbl 0675.03025 Arslanov, M. M. 1 1988 Total degrees and nonsplitting properties of \(\Sigma_2^0\) enumeration degrees. Zbl 1140.03021 Arslanov, M. M.; Cooper, S. Barry; Kalimullin, I. Sh.; Soskova, M. I. 1 2008 On a hierarchy of degrees of unsolvability. Zbl 0539.03021 Arslanov, M. M. 1 1982 Open questions about the \(n\)-c. e. degrees. Zbl 0967.03036 Arslanov, Marat 1 2000 Lattice properties of degrees below O’. Zbl 0596.03040 Arslanov, M. M. 1 1985 A class of hypersimple incomplete sets. Zbl 0597.03024 Arslanov, M. M. 1 1985 Families of recursively enumerable sets and their degrees of unsolvability. Zbl 0615.03030 Arslanov, M. M. 1 1985 Model-theoretic properties of Turing degrees in the Ershov difference hierarchy. Zbl 1361.03038 Arslanov, M. M. 1 2012 A survey of results on the d-c.e. and n-c.e. degrees. Zbl 1485.03150 Arslanov, Marat M.; Kalimullin, Iskander Sh. 1 2017 Fixed-point selection functions. Zbl 1491.03030 Arslanov, M. M. 1 2021 Fixed-point selection functions. Zbl 1491.03030 Arslanov, M. M. 1 2021 On the doubly connected domination polynomial of a graph. Zbl 1414.05150 Akhbari, M. H.; Movahedi, F.; Arslanov, M. 2 2019 On the problem of definability of the computably enumerable degrees in the difference hierarchy. Zbl 1477.03161 Arslanov, M. M.; Yamaleev, M. M. 2 2018 A survey of results on the d-c.e. and n-c.e. degrees. Zbl 1485.03150 Arslanov, Marat M.; Kalimullin, Iskander Sh. 1 2017 Definable relations in Turing degree structures. Zbl 1327.03032 Arslanov, Marat M. 2 2013 Model-theoretic properties of Turing degrees in the Ershov difference hierarchy. Zbl 1361.03038 Arslanov, M. M. 1 2012 The Ershov hierarchy. Zbl 1279.03067 Arslanov, Marat M. 9 2011 Splitting and nonsplitting in the \(\Sigma_2^0\) enumeration degrees. Zbl 1251.03045 Arslanov, M. M.; Cooper, S. B.; Kalimullin, I. Sh.; Soskova, M. I. 2 2011 On Downey’s conjecture. Zbl 1192.03017 Arslanov, Marat M.; Kalimullin, Iskander Sh.; Lempp, Steffen 12 2010 Definability and elementary equivalence in the Ershov difference hierarchy. Zbl 1191.03029 Arslanov, Marat M. 2 2009 Structural properties of \(Q\)-degrees of n-c.e. sets. Zbl 1154.03023 Arslanov, M. M.; Batyrshin, I. I.; Omanadze, R. Sh. 3 2008 Total degrees and nonsplitting properties of \(\Sigma_2^0\) enumeration degrees. Zbl 1140.03021 Arslanov, M. M.; Cooper, S. Barry; Kalimullin, I. Sh.; Soskova, M. I. 1 2008 Q-degrees of \(n\)-c.e. sets. Zbl 1147.03023 Arslanov, M. M.; Omanadze, R. Sh. 6 2007 Splitting properties of total enumeration degrees. Zbl 1032.03037 Arslanov, M. M.; Kalimullin, I. Sh.; Cooper, S. Barry 13 2003 A note on minimal and maximal ideals of ordered semigroups. Zbl 1015.06015 Arslanov, M.; Kehayopulu, N. 5 2002 Density results in the \(\Delta_2^0\) e-degrees. Zbl 1042.03033 Arslanov, Marat M.; Kalimullin, Iskander Sh.; Sorbi, Andrea 4 2001 There is no low maximal d. c. e. degree. Zbl 0967.03037 Arslanov, Marat; Cooper, S. Barry; Li, Angsheng 9 2000 Recursively enumerable sets and degrees. A study of computable functions and computably generated sets. Translated from the English. Translation edited and with a preface by M. M. Arslanov. (Vychislimo perechislimye mnozhestva i stepeni. Izuchenie vychislimykh funktsij vychislimo perechislimykh mnozhestv.) Zbl 0995.03031 Soare, Robert I. 4 2000 Relative splittings of \(\mathbf 0_e\prime\) in the \(\Delta_2^0\)-enumeration degrees. Zbl 0951.03034 Arslanov, Marat M.; Sorbi, Andrea 4 2000 Open questions about the \(n\)-c. e. degrees. Zbl 0967.03036 Arslanov, Marat 1 2000 Recursion theory and complexity. Proceedings of the Kazan ’97 workshop, Kazan, Russia, July 14–19, 1997. Zbl 0923.00014 2 1999 Relative enumerability in the difference hierarchy. Zbl 0911.03021 Arslanov, Marat M.; LaForte, Geoffrey L.; Slaman, Theodore A. 12 1998 Degree structures in local degree theory. Zbl 0884.03045 Arslanov, Marat 2 1997 On isolating r.e. and isolated d-r.e. degrees. Zbl 0839.03024 Arslanov, Marat M.; Lempp, Steffen; Shore, Richard A. 14 1996 Interpolating \(d\)-r.e. and REA degrees between r.e. degrees. Zbl 0855.03025 Arslanov, Marat; Lempp, Steffen; Shore, Richard A. 5 1996 Completeness in the arithmetical hierarchy and fixed points. Zbl 0692.03030 Arslanov, M. M. 3 1989 Completeness in the arithmetical hierarchy and fixed points. Zbl 0687.03026 Arslanov, M. M. 2 1989 On the lattice of degrees below 0’. Zbl 0665.03034 Arslanov, M. M. 12 1988 Lattice of degrees below \(O'\). Zbl 0675.03025 Arslanov, M. M. 1 1988 Recursively enumerable sets and degrees of unsolvability. (Рекурсивно перечислимые множества и степени неразрешимости.) Zbl 0648.03028 Arslanov, M. M. 5 1986 Lattice properties of degrees below O’. Zbl 0596.03040 Arslanov, M. M. 1 1985 A class of hypersimple incomplete sets. Zbl 0597.03024 Arslanov, M. M. 1 1985 Families of recursively enumerable sets and their degrees of unsolvability. Zbl 0615.03030 Arslanov, M. M. 1 1985 On a hierarchy of degrees of unsolvability. Zbl 0539.03021 Arslanov, M. M. 1 1982 On some generalizations of a fixed point theorem. Zbl 0523.03029 Arslanov, M. M. 19 1981 A criterion for the completeness of recursively enumerable sets and some generalizations of the fixed point theorem. Zbl 0358.02046 Arslanov, M. M.; Nadyrov, R. F.; Solov’ev, V. D. 3 1977 all cited Publications top 5 cited Publications all top 5 Cited by 90 Authors 16 Arslanov, Marat M. 13 Yamaleev, Mars Mansurovich 10 Soskova, Mariya Ivanova 8 Lempp, Steffen 8 Wu, Guohua 7 Batyrshin, Ilnur I. 6 Cooper, Stuart Barry 6 Sorbi, Andrea 5 Cai, Mingzhong 5 Downey, Rodney Graham 5 Li, Angsheng 5 Terwijn, Sebastiaan A. 4 Kalimullin, Iskander Shagitovich 4 Selivanov, Viktor L’vovich 4 Shore, Richard Arnold 3 Faĭzrahmanov, Marat Khaidarovich 3 Ganchev, Hristo A. 3 Miller, Joseph S. 3 Omanadze, Roland Sh. 3 Yang, Yue 2 Barendregt, Hendrik Pieter 2 Chinram, Ronnason 2 Chitaia, Irakli O. 2 Faĭzrakhmanov, Marat Khaĭdarovich 2 Harris, Charles M. 2 Kent, Thomas F. 2 Liu, Jiang 2 Liu, Yong 2 Peng, Cheng 2 Petchkaew, Pattarawan 2 Stephan, Frank 2 Yu, Liang 1 Affatato, Maria Libera 1 Andrews, Uri 1 Anjum, Rukhshanda 1 Artemov, Sergei 1 Badillo, Liliana 1 Barmpalias, George 1 Bazhenov, Nikolaĭ Alekseevich 1 Bélanger, David R. 1 Chu, Yuming 1 Day, Adam R. 1 Dehghanian, Mehdi 1 Fang, Chengling 1 Franklin, Johanna N. Y. 1 Golov, Anton 1 Greenberg, Noam 1 Harrington, Leo A. 1 Harrison-Trainor, Matthew 1 Hirschfeldt, Denis Roman 1 Hu, Weiqun 1 Kach, Asher M. 1 Kadry, Seifedine 1 Kausar, Nasreen 1 Kihara, Takayuki 1 Korovina, Margarita Vladimirovna 1 Kučera, Antonín 1 Kudinov, Oleg Victorovich 1 Kuyper, Rutger 1 Lachlan, Alistair H. 1 LaForte, Geoffrey L. 1 Lewis-Pye, Andrew E. M. 1 Melnikov, Alexander G. 1 Mileti, Joseph R. 1 Miller, Justin 1 Mohammadhasani, Ahmad 1 Montalbán, Antonio 1 Moser, Philippe 1 Munir, Mohammad 1 Ng, KengMeng 1 Nies, André Otfrid 1 Patey, Ludovic 1 Reimann, Jan 1 Salts, Matthew C. 1 Selivanova, Svetlana V. 1 Shi, Xiaoping 1 Simuen, Anusorn 1 Slaman, Theodore A. 1 Soare, Robert I. 1 Solomon, Reed 1 Soskova, Alexandra A. 1 Spreen, Dieter 1 Sterkenburg, Tom F. 1 Talipova, A. I. 1 Teutsch, Jason 1 Turetsky, Dan 1 Ullah, Saad 1 Wang, Shengling 1 Yang, Dongping 1 Zubkov, Maxim V. all top 5 Cited in 26 Serials 13 Annals of Pure and Applied Logic 9 Russian Mathematics 8 The Journal of Symbolic Logic 7 Algebra and Logic 7 Archive for Mathematical Logic 7 Lobachevskii Journal of Mathematics 6 Mathematical Logic Quarterly (MLQ) 4 Notre Dame Journal of Formal Logic 4 The Bulletin of Symbolic Logic 4 Computability 3 Proceedings of the American Mathematical Society 3 Theoretical Computer Science 3 Journal of Mathematical Sciences (New York) 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Journal of Algebra 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Information and Computation 1 Journal of the American Mathematical Society 1 Journal of Mathematical Logic 1 Thai Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 European Journal of Pure and Applied Mathematics 1 Journal of Mathematical Extension 1 AIMS Mathematics all top 5 Cited in 7 Fields 92 Mathematical logic and foundations (03-XX) 10 Computer science (68-XX) 4 Group theory and generalizations (20-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.