Edit Profile (opens in new tab) Ayupov, Shavkat Abdullaevich Co-Author Distance Author ID: ayupov.sh-a Published as: Ayupov, Sh. A.; Ayupov, Shavkat; Ayupov, Shavkat A.; Ayupov, Sh.; Ayupov, Shavkat Abdullaevich; Ayupov, Shavkat Abdullayevich; Ayupov, S. A. more...less Further Spellings: Аюпов Шавкат Абдуллаевич Homepage: https://twas.org/directory/ayupov-shavkat-abdullaevich External Links: MGP · ORCID · Google Scholar · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 193 Publications since 1974, including 4 Books 4 Contributions as Editor Reviewing Activity: 336 Reviews Biographic References: 2 Publications Co-Authors: 74 Co-Authors with 129 Joint Publications 1,044 Co-Co-Authors all top 5 Co-Authors 63 single-authored 42 Kudaĭbergenov, Karimbergen Kadirbergenovich 18 Albeverio, Sergio A. 15 Omirov, Bakhrom A. 7 Abdullaev, Rustam Z. 7 Arzikulov, Farhodjon Nematjonovich 7 Khadzhiev, Dzhavvat 6 Adizov, A. A. 6 Khudoyberdiyev, Abror Kh. 6 Sarymsakov, Tashmukhamed Alievich 5 Yadgorov, N. Zh. 4 Beshimov, Gayrat R. 4 Rakhimov, Abdugafur Abdumadjidovich 3 Abduvaitov, Adkham Khamdamovich 3 Alauadinov, Amir 3 Chilin, Vladimir Ivanovich 3 Rakhimov, Isamiddin Sattarovich 3 Usmanov, Shukhrat 3 Zaitov, Adilbek Atakhanovich 3 Zakirov, F. M. 3 Zhelyabin, Viktor Nikolaevich 2 Arzikulov, Farkhad Nematjonovich 2 Azamov, Nurulla A. 2 Dadakhodjaev, Rashidkhon A. 2 Djumamuratov, Rauaj T. 2 Iochum, Bruno 2 Tadzhibaev, B. R. 2 Umrzaqov, N. M. 2 Yusupov, Baxtiyor 1 Aksoy, Asuman Güven 1 Alauadinov, A. K. 1 Alimov, Akrom Akbarovich 1 Allambergenov, A. X. 1 Allambergenov, Allayar 1 Artikbaev, A. 1 Ashurov, Ravshan Rajabovich 1 Bekboev, U. 1 Berdikulov, M. A. 1 Camacho, Luisa Maria 1 Dadakhodjayev, R. A. 1 Dadakhodzhaev, R. A. 1 Elduque, Alberto 1 Ferleger, Sergei V. 1 Formanov, Shakir Kasimovich 1 Ganikhodjaev, Nasir Nabievich 1 Ganikhodzhaev, Rasul N. 1 Goldshtein, M. Sh. 1 Gol’dshtejn, M. Sh. 1 Goze, Michel 1 Kabulov, Vasil Kabulovich 1 Kalandarov, T. S. 1 Kalandarov, Turabay 1 Karimov, Khakimbek 1 Khakimdjanov, Yusupdjan Bakimdjanovich 1 Khalmatov, R. R. 1 Khudaĭberganov, Gulmirza Kh. 1 Kurbanbaev, Tuuelbay K. 1 Mukhamedkhanova, R. I. 1 Mukhamedov, Farruh Maksutovich 1 Musaev, D. K. 1 Nuriddinov, Olimzhon Odilzhonovich 1 Nurjanov, B. O. 1 Nurjanov, Berdakh 1 Ören, İdris 1 Pasynkov, Boris A. 1 Peralta, Antonio M. 1 Russo, Bernard 1 Ruziev, J. E. 1 Shermatova, Z. Kh. 1 Shoumkulov, B. A. 1 Sukochev, Fedor Anatol’evich 1 Tuĭchiev, T. T. 1 Turdibaev, Rustam Mirzalievich 1 Turgunbayev, R. M. 1 Umrzaqov, Sandorbek M. 1 Yadgorov, N. Dz. 1 Yadgorov, N. J. 1 Yusupov, B. B. 1 Yusupov, Bakhtiyor 1 Zakirov, B. S. 1 Zhao, Kaiming 1 Zhuraev, T. F. all top 5 Serials 21 Doklady Akademii Nauk UzSSR 18 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 8 Functional Analysis and its Applications 7 Uzbek Mathematical Journal 6 Linear Algebra and its Applications 5 Linear and Multilinear Algebra 5 Journal of Functional Analysis 5 Doklady Akademii Nauk Respubliki Uzbekistan. Matematika, Tekhnicheskie Nauki, Estestvoznanie 5 Lobachevskii Journal of Mathematics 4 Communications in Algebra 4 Mathematical Notes 4 Mathematics of the USSR. Izvestiya 4 Positivity 4 Uzbekskiĭ Matematicheskiĭ Zhurnal 4 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 3 Russian Mathematical Surveys 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Mathematische Zeitschrift 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Eurasian Mathematical Journal 2 Journal of Mathematical Analysis and Applications 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Soviet Mathematics. Doklady 2 Analele Universității din Craiova. Seria Matematică, Fizică-Chimie 2 International Journal of Algebra and Computation 2 Journal of Mathematical Sciences (New York) 2 Methods of Functional Analysis and Topology 2 Journal of Algebra and its Applications 2 Sbornik Nauchnykh Trudov 1 Matematicheskie Zametki 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications 1 Commentationes Mathematicae Universitatis Carolinae 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Mathematica Scandinavica 1 Mathematica Slovaca 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Siberian Mathematical Journal 1 Topology and its Applications 1 Journal of Operator Theory 1 Acta Applicandae Mathematicae 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Voprosy Vychislitel’noĭ i Prikladnoĭ Matematiki 1 Journal of Lie Theory 1 Izvestiya: Mathematics 1 Algebras and Representation Theory 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Revista Matemática Complutense 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Contemporary Mathematics 1 Mathematics and its Applications (Dordrecht) 1 São Paulo Journal of Mathematical Sciences 1 TWMS Journal of Pure and Applied Mathematics 1 Annals of Functional Analysis 1 European Journal of Mathematics 1 Advances in Operator Theory 1 Advanced Studies: Euro-Tbilisi Mathematical Journal all top 5 Fields 144 Functional analysis (46-XX) 96 Nonassociative rings and algebras (17-XX) 27 Operator theory (47-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 14 Associative rings and algebras (16-XX) 10 Probability theory and stochastic processes (60-XX) 7 General topology (54-XX) 5 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Algebraic geometry (14-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 790 times in 375 Documents Cited by ▼ Year ▼ On some classes of nilpotent Leibniz algebras. Zbl 1017.17002Ayupov, Sh. A.; Omirov, B. A. 57 2001 On nilpotent and simple Leibniz algebras. Zbl 1065.17001Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A. 57 2005 On Leibniz algebras. Zbl 0928.17001Ayupov, Sh. A.; Omirov, B. A. 44 1998 2-local derivations and automorphisms on \(B(H)\). Zbl 1275.47078Ayupov, Sh.; Kudaybergenov, K. 41 2012 2-local derivations on von Neumann algebras. Zbl 1344.46046Ayupov, Shavkat; Kudaybergenov, Karimbergen 36 2015 2-local derivations on finite-dimensional Lie algebras. Zbl 1360.17021Ayupov, Shavkat; Kudaybergenov, Karimbergen; Rakhimov, Isamiddin 34 2015 Structure of derivations on various algebras of measurable operators for type I von Neumann algebras. Zbl 1175.46054Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K. 31 2009 A survey on local and 2-local derivations on \(C^*\)-algebras and von Neumann algebras. Zbl 1365.46059Ayupov, Shavkat; Kudaybergenov, Karimbergen; Peralta, Antonio M. 28 2016 Local derivations on finite-dimensional Lie algebras. Zbl 1395.17032Ayupov, Shavkat; Kudaybergenov, Karimbergen 22 2016 Classification and representation of ordered Jordan algebras. (Классификации и представление упорядоченных Јордановых алгебр.) Zbl 0629.46045Ayupov, Sh. A. 20 1986 2-local derivations on semi-finite von Neumann algebras. Zbl 1296.46057Ayupov, Shavkat; Arzikulov, Farkhad 19 2014 \(n\)-dimensional filiform Leibniz algebras of length \((n-1)\) and their derivations. Zbl 1208.17002Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.; Khudoyberdiyev, A. Kh. 18 2008 Local derivations on algebras of measurable operators. Zbl 1230.46056Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K.; Nurjanov, B. O. 16 2011 Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras. Zbl 1128.17001Albeverio, Sergio A.; Ayupov, Shavkat A.; Omirov, Bakhrom A. 16 2006 2-local automorphisms on finite-dimensional Lie algebras. Zbl 1382.17010Ayupov, Shavkat; Kudaybergenov, Karimbergen 15 2016 Non-commutative Arens algebras and their derivations. Zbl 1138.46040Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K. 15 2007 Local and 2-local derivations on noncommutative Arens algebras. Zbl 1349.46071Ayupov, Shavkat; Kudaybergenov, Karimbergen; Nurjanov, Berdakh; Alauadinov, Amir 15 2014 Ordered algebras. (Uporyadochennye algebry). Zbl 0542.46001Sarymsakov, T. A.; Ayupov, Sh. A.; Khadzhiev, Dzh.; Chilin, V. I. 14 1983 Additive derivations on algebras of measurable operators. Zbl 1263.46057Ayupov, Sh. A.; Kudaybergenov, K. K. 13 2012 Local and 2-local derivations and automorphisms on simple Leibniz algebras. Zbl 1465.17004Ayupov, Shavkat; Kudaybergenov, Karimbergen; Omirov, Bakhrom 12 2020 Derivations on algebras of measurable operators. Zbl 1005.46029Ayupov, Sh. A. 11 2000 Derivations on algebras of measurable operators. Zbl 1203.46047Ayupov, Sh. A.; Kudaybergenov, K. K. 11 2010 The classification of filiform Leibniz superalgebras of nilindex \(n+m\). Zbl 1244.17002Ayupov, Sh. A.; Omirov, B. A.; Khudoyberdiyev, A. Kh. 10 2009 Leibniz algebras. Structure and classification. Zbl 1426.17001Ayupov, Shavkat; Omirov, Bakhrom; Rakhimov, Isamiddin 10 2020 Jordan, real and Lie structures in operator algebras. Zbl 0908.17022Ayupov, Shavkat; Rakhimov, Abdugafur; Usmanov, Shukhrat 9 1997 2-local derivations on associative and Jordan matrix rings over commutative rings. Zbl 1385.16042Ayupov, Shavkat; Arzikulov, Farhodjon 9 2017 On certain properties of the spaces of order-preserving functionals. Zbl 1163.46019Albeverio, S.; Ayupov, Sh. A.; Zaitov, A. A. 8 2008 2-local derivations on algebras of locally measurable operators. Zbl 1277.46030Ayupov, Shavkat Abdullaevich; Kudaybergenov, K. K.; Alauadinov, A. K. 8 2013 Cartan subalgebras of Leibniz \(n\)-algebras. Zbl 1236.17004Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.; Turdibaev, R. M. 8 2009 Leibniz algebras associated with representations of filiform Lie algebras. Zbl 1368.17001Ayupov, Sh. A.; Camacho, L. M.; Khudoyberdiyev, A. Kh.; Omirov, B. A. 8 2015 Derivations on the algebra of \(\tau\)-compact operators affiliated with a type I von Neumann algebra. Zbl 1155.46038Albeverio, Sergio; Ayupov, Shavkat A.; Kudaybergenov, Karimbergen K. 7 2008 Extensions of traces and type criterions for Jordan algebras of self- adjoint operators. Zbl 0477.46056Ayupov, Sh. A. 7 1982 2-local derivations on matrix algebras over commutative regular algebras. Zbl 1321.47086Ayupov, Shavkat; Kudaybergenov, Karimbergen; Alauadinov, Amir 7 2013 Innerness of continuous derivations on algebras of measurable operators affiliated with finite von Neumann algebras. Zbl 1312.46062Ayupov, Shavkat; Kudaybergenov, Karimbergen 7 2013 Automorphisms of central extensions of type I von Neumann algebras. Zbl 1246.46058Albeverio, Sergio; Ayupov, Shavkat; Kudaybergenov, Karimbergen; Djumamuratov, Rauaj 6 2011 2-local derivations on generalized Witt algebras. Zbl 1496.17016Ayupov, Shavkat; Kudaybergenov, Karimbergen; Yusupov, Baxtiyor 6 2021 2-local derivations of infinite-dimensional Lie algebras. Zbl 1465.17022Ayupov, Shavkat; Yusupov, Baxtiyor 6 2020 Derivations, local, and 2-local derivations on algebras of measurable operators. Zbl 1365.46058Ayupov, Shavkat; Kudaybergenov, Karimbergen 6 2016 Local derivations on solvable Lie algebras. Zbl 1502.17015Ayupov, Sh. A.; Khudoyberdiyev, A. Kh. 5 2021 Traces on JW-algebras and enveloping \(W^ *\)-algebras. Zbl 0615.46057Ayupov, Shavkat A. 4 1987 On real \(AW^*\)-algebras. Zbl 1095.46031Albeverio, S.; Ayupov, Sh. A.; Abduvaitov, A. H. 4 2005 On the coincidence of types of a real \(AW^ *\)-algebra and its complexification. Zbl 1074.46042Albeverio, S.; Ayupov, Sh. A.; Abduvaitov, A. Kh. 4 2004 Spatiality of derivations on the algebra of \(\tau \)-compact operators. Zbl 1302.47053Ayupov, Shavkat; Kudaybergenov, Karimbergen 4 2013 2-local derivations on \(AW^*\)-algebras of type I. Zbl 1390.46062Ayupov, Sh.; Arzikulov, F. 4 2017 Jordan counterparts of Rickart and Baer \(^*\)-algebras. II. Zbl 1441.17025Ayupov, Shavkat; Arzikulov, Farhodjon 4 2019 Semisimple Leibniz algebras, their derivations and automorphisms. Zbl 1485.17007Ayupov, Shavkat; Kudaybergenov, Karimbergen; Omirov, Bakhrom; Zhao, Kaiming 4 2020 Description of finite dimensional nilpotent complex Leibniz algebras with maximal nilindex. Zbl 0974.17001Ayupov, Sh. A.; Omirov, B. A. 3 1999 Commutators and Lie isomorphisms of skew elements in prime operator algebras. Zbl 0852.17019Ayupov, Sh. A.; Azamov, N. A. 3 1996 Functor of weakly additive \(\tau\)-smooth functionals and mappings. Zbl 1224.46055Ayupov, Sh. A.; Zaitov, A. A. 3 2009 On partially ordered real involutory algebras. Zbl 1116.46038Albeverio, S.; Ayupov, Sh. A.; Dadakhodjayev, R. A. 3 2006 Local automorphisms on finite-dimensional Lie and Leibniz algebras. Zbl 1422.17002Ayupov, Shavkat; Kudaybergenov, Karimbergen 3 2018 Local and 2-local derivations of solvable Leibniz algebras. Zbl 1485.17006Ayupov, Shavkat; Khudoyberdiyev, Abror; Yusupov, Bakhtiyor 3 2020 Infinite dimensional central simple regular algebras with outer derivations. Zbl 1465.46068Ayupov, Sh.; Kudaybergenov, K. 3 2020 Derivations of noncommutative Arens algebras. Zbl 1154.46040Ayupov, Sh. A.; Kudaybergenov, K. K. 2 2007 On center-valued traces on real operator algebras. Zbl 0810.46070Ayupov, Sh. A. 2 1992 The Radon-Nikodym theorem for weights on semifinite JBW-algebras. Zbl 0567.46036Ayupov, Shavkat A.; Abdullaev, Rustam Z. 2 1985 JW-factors and anti-automorphisms of von Neumann algebras. Zbl 0573.46042Ayupov, Sh. A. 2 1985 Homogeneous Markov chains on semifields. Zbl 0487.60011Ayupov, Sh. A.; Sarymsakov, T. A. 2 1982 Ergodic theorems for Markov operators in Jordan algebras. I. Zbl 0497.46043Ayupov, Sh. A. 2 1982 Ergodic theorems for Markov operators in Jordan algebras. II. Zbl 0515.46067Ayupov, Sh. A. 2 1982 Integration on Jordan algebras. Zbl 0516.46044Ayupov, Sh. A. 2 1983 On the construction of Jordan algebras of selfadjoint operators. Zbl 0528.46046Ayupov, Sh. A. 2 1982 A new proof of the existence of traces on Jordan operator algebras and real von Neumann algebras. Zbl 0684.46055Ayupov, Shavkat A. 2 1989 Markov operators on quantum probability spaces. Zbl 0692.60087Ayupov, Sh. A.; Sarymsakov, T. A. 2 1987 The properties of the compactness and completeness of topological spaces and continuous mappings. Ed. by Sh. A. Ayupov. (O svojstvakh kompaktnosti i polnoty topologicheskikh prostranstv i nepreryvnykh otobrazhenij.) Zbl 0940.54001Musaev, D. K.; Pasynkov, B. A. 2 1994 Skew commutators and Lie isomorphisms in real von Neumann algebras. Zbl 0903.46057Ayupov, Shavkat A. 2 1996 The classification of 4-dimensional \(p\)-adic filiform Leibniz algebras. Zbl 1246.17004Ayupov, Sh. A.; Kurbanbaev, T. K. 2 2010 Partially ordered Jordan algebras. Zbl 0442.46037Sarymsakov, T. A.; Ayupov, Sh. A. 2 1979 Complete systems of invariant of \(m\)-tuples for fundamental groups of the two-dimensional Euclidian space. Zbl 1488.14016Khadjiev, Djavvat; Ayupov, Shavkat; Beshimov, Gayrat 2 2020 Ring isomorphisms of Murray-von Neumann algebras. Zbl 1460.46047Ayupov, Shavkat; Kudaybergenov, Karimbergen 2 2021 Description of 2-local and local derivations on some Lie rings of skew-adjoint matrices. Zbl 1472.17062Ayupov, Sh. A.; Arzikulov, F. N. 2 2020 2-local automorphisms on \(AW^\ast \)-algebras. Zbl 1454.46055Ayupov, Shavkat; Kudaybergenov, Karimbergen; Kalandarov, Turabay 2 2019 2-local derivations on matrix algebras and algebras of measurable operators. Zbl 1458.46055Ayupov, Shavkat; Kudaybergenov, Karimbergen; Alauadinov, Amir 1 2017 Innerness of derivations on subalgebras of measurable operators. Zbl 1173.46047Ayupov, Sh. A.; Kudaybergenov, K. K. 1 2008 Locally measurable operators for JW-algebras and representation of ordered Jordan algebras. Zbl 0547.46042Ayupov, Sh. A. 1 1984 Order properties of Jordan Banach algebras. Zbl 0615.46044Ayupov, Sh. A.; Khalmatov, R. R. 1 1982 Arens spaces associated with von Neumann algebras and normal states. Zbl 1200.46054Albeverio, S.; Ayupov, Sh. A.; Abdullaev, R. Z. 1 2010 JW-factors and antiautomorphisms of von Neumann algebras. Zbl 0587.46057Ayupov, Sh. A. 1 1986 Locally measurable operators for HW-algebras and the representation of ordered Jordan algebras. Zbl 0604.46065Ayupov, Sh. A. 1 1985 An ergodic type theorem in Jordan algebras. Zbl 0461.46049Ayupov, Sh. A. 1 1980 Statistical ergodic theorems in Jordan algebras. Zbl 0493.47004Ayupov, Sh. A. 1 1981 Statistical ergodic theorems in Jordan algebras. Zbl 0511.47007Ayupov, Sh. A. 1 1981 Modular Jordan algebras of self-adjoint operators. Zbl 0515.46068Ayupov, Sh. A. 1 1982 Types of Jordan algebras of self-adjoint operators and their enveloping von Neumann algebras. Zbl 0521.46059Ayupov, Sh. A. 1 1983 On the existence of a trace on a modular JW-factor. Zbl 0684.46056Ayupov, Sh. A. 1 1989 Linearity of multiplicative mappings of Jordan Banach algebras. Zbl 0723.46046Ayupov, Sh. A.; Adizov, A. A. 1 1990 Anti-automorphisms of factors and Lie operator algebras. Zbl 0831.46071Ayupov, Shavkat A. 1 1995 Real \(W^ *\)-algebras with an abelian Hermitian part. Zbl 1036.46045Ayupov, Sh.; Rakhimov, A. A.; Abduvaitov, A. Kh. 1 2002 Homomorphisms of a class of rings and two-valued measures on Boolean algebras. Zbl 0421.16024Ayupov, Sh. A. 1 1978 AW\(^*\)-algebras which are enveloping \(C^*\)-algebras of JC-algebras. Zbl 1271.46054Arzikulov, Farkhad Nematjonovich; Ayupov, Shavkat Abdullayevich 1 2013 Topologies on central extensions of von Neumann algebras. Zbl 1250.46039Ayupov, Shavkat A.; Kudaybergenov, Karimbergen K.; Djumamuratov, Rauaj T. 1 2012 Isomorphism between the associative and non-associative \(L_ p\)-spaces of type \(\text{II}_ 1\) hyperfinite factors. Zbl 0865.46048Ayupov, Sh. A.; Ferleger, S. V.; Sukochev, F. A. 1 1996 Real \(AW^{*}\)-algebras of type I. Zbl 1089.46036Ayupov, Sh. A. 1 2004 Algebra and operator theory. Proceedings of the colloquium, Tashkent, Uzbekistan, September 29–October 5, 1997. Zbl 0908.00015 1 1998 Ergodic theorems for Markov chains on 0*-algebras. Zbl 0452.60077Ayupov, Sh. A. 1 1978 Orlicz spaces associated with a semi-finite von Neumann algebra. Zbl 1274.46120Ayupov, Sh. A.; Chilin, V. I.; Abdullaev, R. Z. 1 2012 Local derivations and automorphisms of Cayley algebras. Zbl 07654869Ayupov, Shavkat; Elduque, Alberto; Kudaybergenov, Karimbergen 1 2023 Description of 2-local derivations and automorphisms on finite-dimensional Jordan algebras. Zbl 1516.17027Ayupov, Sh. A.; Arzikulov, F. N.; Umrzaqov, N. M.; Nuriddinov, O. O. 1 2022 Problems in probability theory on spaces with an order unit. Zbl 1299.46066Ayupov, Sh. A.; Berdikulov, M. A. 1 2005 Local derivations on measurable operators and commutativity. Zbl 1419.46044Ayupov, Shavkat; Kudaybergenov, Karimbergen 1 2016 Local derivations and automorphisms of Cayley algebras. Zbl 07654869Ayupov, Shavkat; Elduque, Alberto; Kudaybergenov, Karimbergen 1 2023 Description of 2-local derivations and automorphisms on finite-dimensional Jordan algebras. Zbl 1516.17027Ayupov, Sh. A.; Arzikulov, F. N.; Umrzaqov, N. M.; Nuriddinov, O. O. 1 2022 Isomorphisms of commutative regular algebras. Zbl 1494.46055Ayupov, Shavkat; Kudaybergenov, Karimbergen; Karimov, Khakimbek 1 2022 2-local derivations on generalized Witt algebras. Zbl 1496.17016Ayupov, Shavkat; Kudaybergenov, Karimbergen; Yusupov, Baxtiyor 6 2021 Local derivations on solvable Lie algebras. Zbl 1502.17015Ayupov, Sh. A.; Khudoyberdiyev, A. Kh. 5 2021 Ring isomorphisms of Murray-von Neumann algebras. Zbl 1460.46047Ayupov, Shavkat; Kudaybergenov, Karimbergen 2 2021 Local and 2-local derivations and automorphisms on simple Leibniz algebras. Zbl 1465.17004Ayupov, Shavkat; Kudaybergenov, Karimbergen; Omirov, Bakhrom 12 2020 Leibniz algebras. Structure and classification. Zbl 1426.17001Ayupov, Shavkat; Omirov, Bakhrom; Rakhimov, Isamiddin 10 2020 2-local derivations of infinite-dimensional Lie algebras. Zbl 1465.17022Ayupov, Shavkat; Yusupov, Baxtiyor 6 2020 Semisimple Leibniz algebras, their derivations and automorphisms. Zbl 1485.17007Ayupov, Shavkat; Kudaybergenov, Karimbergen; Omirov, Bakhrom; Zhao, Kaiming 4 2020 Local and 2-local derivations of solvable Leibniz algebras. Zbl 1485.17006Ayupov, Shavkat; Khudoyberdiyev, Abror; Yusupov, Bakhtiyor 3 2020 Infinite dimensional central simple regular algebras with outer derivations. Zbl 1465.46068Ayupov, Sh.; Kudaybergenov, K. 3 2020 Complete systems of invariant of \(m\)-tuples for fundamental groups of the two-dimensional Euclidian space. Zbl 1488.14016Khadjiev, Djavvat; Ayupov, Shavkat; Beshimov, Gayrat 2 2020 Description of 2-local and local derivations on some Lie rings of skew-adjoint matrices. Zbl 1472.17062Ayupov, Sh. A.; Arzikulov, F. N. 2 2020 Local and 2-local derivations of \(p\)-filiform Leibniz algebras. Zbl 1464.17003Ayupov, Sh. A.; Kudaibergenov, K. K.; Yusupov, B. B. 1 2020 Jordan counterparts of Rickart and Baer \(^*\)-algebras. II. Zbl 1441.17025Ayupov, Shavkat; Arzikulov, Farhodjon 4 2019 2-local automorphisms on \(AW^\ast \)-algebras. Zbl 1454.46055Ayupov, Shavkat; Kudaybergenov, Karimbergen; Kalandarov, Turabay 2 2019 Local automorphisms on finite-dimensional Lie and Leibniz algebras. Zbl 1422.17002Ayupov, Shavkat; Kudaybergenov, Karimbergen 3 2018 2-local derivations on algebras of matrix-valued functions on a compactum. Zbl 1463.46094Ayupov, Shavkat Abdullaevich; Arzikulov, Farhodjan Nematjonovich 1 2018 2-local derivations on associative and Jordan matrix rings over commutative rings. Zbl 1385.16042Ayupov, Shavkat; Arzikulov, Farhodjon 9 2017 2-local derivations on \(AW^*\)-algebras of type I. Zbl 1390.46062Ayupov, Sh.; Arzikulov, F. 4 2017 2-local derivations on matrix algebras and algebras of measurable operators. Zbl 1458.46055Ayupov, Shavkat; Kudaybergenov, Karimbergen; Alauadinov, Amir 1 2017 A survey on local and 2-local derivations on \(C^*\)-algebras and von Neumann algebras. Zbl 1365.46059Ayupov, Shavkat; Kudaybergenov, Karimbergen; Peralta, Antonio M. 28 2016 Local derivations on finite-dimensional Lie algebras. Zbl 1395.17032Ayupov, Shavkat; Kudaybergenov, Karimbergen 22 2016 2-local automorphisms on finite-dimensional Lie algebras. Zbl 1382.17010Ayupov, Shavkat; Kudaybergenov, Karimbergen 15 2016 Derivations, local, and 2-local derivations on algebras of measurable operators. Zbl 1365.46058Ayupov, Shavkat; Kudaybergenov, Karimbergen 6 2016 Local derivations on measurable operators and commutativity. Zbl 1419.46044Ayupov, Shavkat; Kudaybergenov, Karimbergen 1 2016 Reversible AJW-algebras. Zbl 1463.46096Ayupov, Shavkat Abdullaevich; Arzikulov, Farhodjon Nematjonovich 1 2016 2-local derivations on von Neumann algebras. Zbl 1344.46046Ayupov, Shavkat; Kudaybergenov, Karimbergen 36 2015 2-local derivations on finite-dimensional Lie algebras. Zbl 1360.17021Ayupov, Shavkat; Kudaybergenov, Karimbergen; Rakhimov, Isamiddin 34 2015 Leibniz algebras associated with representations of filiform Lie algebras. Zbl 1368.17001Ayupov, Sh. A.; Camacho, L. M.; Khudoyberdiyev, A. Kh.; Omirov, B. A. 8 2015 2-local derivations on semi-finite von Neumann algebras. Zbl 1296.46057Ayupov, Shavkat; Arzikulov, Farkhad 19 2014 Local and 2-local derivations on noncommutative Arens algebras. Zbl 1349.46071Ayupov, Shavkat; Kudaybergenov, Karimbergen; Nurjanov, Berdakh; Alauadinov, Amir 15 2014 On a certain class of operator algebras and their derivations. Zbl 1327.46060Ayupov, Sh. A.; Abdullaev, R. Z.; Kudaybergenov, K. K. 1 2014 2-local derivations on algebras of locally measurable operators. Zbl 1277.46030Ayupov, Shavkat Abdullaevich; Kudaybergenov, K. K.; Alauadinov, A. K. 8 2013 2-local derivations on matrix algebras over commutative regular algebras. Zbl 1321.47086Ayupov, Shavkat; Kudaybergenov, Karimbergen; Alauadinov, Amir 7 2013 Innerness of continuous derivations on algebras of measurable operators affiliated with finite von Neumann algebras. Zbl 1312.46062Ayupov, Shavkat; Kudaybergenov, Karimbergen 7 2013 Spatiality of derivations on the algebra of \(\tau \)-compact operators. Zbl 1302.47053Ayupov, Shavkat; Kudaybergenov, Karimbergen 4 2013 AW\(^*\)-algebras which are enveloping \(C^*\)-algebras of JC-algebras. Zbl 1271.46054Arzikulov, Farkhad Nematjonovich; Ayupov, Shavkat Abdullayevich 1 2013 2-local derivations and automorphisms on \(B(H)\). Zbl 1275.47078Ayupov, Sh.; Kudaybergenov, K. 41 2012 Additive derivations on algebras of measurable operators. Zbl 1263.46057Ayupov, Sh. A.; Kudaybergenov, K. K. 13 2012 Topologies on central extensions of von Neumann algebras. Zbl 1250.46039Ayupov, Shavkat A.; Kudaybergenov, Karimbergen K.; Djumamuratov, Rauaj T. 1 2012 Orlicz spaces associated with a semi-finite von Neumann algebra. Zbl 1274.46120Ayupov, Sh. A.; Chilin, V. I.; Abdullaev, R. Z. 1 2012 Local derivations on algebras of measurable operators. Zbl 1230.46056Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K.; Nurjanov, B. O. 16 2011 Automorphisms of central extensions of type I von Neumann algebras. Zbl 1246.46058Albeverio, Sergio; Ayupov, Shavkat; Kudaybergenov, Karimbergen; Djumamuratov, Rauaj 6 2011 Derivations on algebras of measurable operators. Zbl 1203.46047Ayupov, Sh. A.; Kudaybergenov, K. K. 11 2010 The classification of 4-dimensional \(p\)-adic filiform Leibniz algebras. Zbl 1246.17004Ayupov, Sh. A.; Kurbanbaev, T. K. 2 2010 Arens spaces associated with von Neumann algebras and normal states. Zbl 1200.46054Albeverio, S.; Ayupov, Sh. A.; Abdullaev, R. Z. 1 2010 Structure of derivations on various algebras of measurable operators for type I von Neumann algebras. Zbl 1175.46054Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K. 31 2009 The classification of filiform Leibniz superalgebras of nilindex \(n+m\). Zbl 1244.17002Ayupov, Sh. A.; Omirov, B. A.; Khudoyberdiyev, A. Kh. 10 2009 Cartan subalgebras of Leibniz \(n\)-algebras. Zbl 1236.17004Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.; Turdibaev, R. M. 8 2009 Functor of weakly additive \(\tau\)-smooth functionals and mappings. Zbl 1224.46055Ayupov, Sh. A.; Zaitov, A. A. 3 2009 \(n\)-dimensional filiform Leibniz algebras of length \((n-1)\) and their derivations. Zbl 1208.17002Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.; Khudoyberdiyev, A. Kh. 18 2008 On certain properties of the spaces of order-preserving functionals. Zbl 1163.46019Albeverio, S.; Ayupov, Sh. A.; Zaitov, A. A. 8 2008 Derivations on the algebra of \(\tau\)-compact operators affiliated with a type I von Neumann algebra. Zbl 1155.46038Albeverio, Sergio; Ayupov, Shavkat A.; Kudaybergenov, Karimbergen K. 7 2008 Innerness of derivations on subalgebras of measurable operators. Zbl 1173.46047Ayupov, Sh. A.; Kudaybergenov, K. K. 1 2008 Non-commutative Arens algebras and their derivations. Zbl 1138.46040Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K. 15 2007 Derivations of noncommutative Arens algebras. Zbl 1154.46040Ayupov, Sh. A.; Kudaybergenov, K. K. 2 2007 Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras. Zbl 1128.17001Albeverio, Sergio A.; Ayupov, Shavkat A.; Omirov, Bakhrom A. 16 2006 On partially ordered real involutory algebras. Zbl 1116.46038Albeverio, S.; Ayupov, Sh. A.; Dadakhodjayev, R. A. 3 2006 On nilpotent and simple Leibniz algebras. Zbl 1065.17001Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A. 57 2005 On real \(AW^*\)-algebras. Zbl 1095.46031Albeverio, S.; Ayupov, Sh. A.; Abduvaitov, A. H. 4 2005 Problems in probability theory on spaces with an order unit. Zbl 1299.46066Ayupov, Sh. A.; Berdikulov, M. A. 1 2005 On the coincidence of types of a real \(AW^ *\)-algebra and its complexification. Zbl 1074.46042Albeverio, S.; Ayupov, Sh. A.; Abduvaitov, A. Kh. 4 2004 Real \(AW^{*}\)-algebras of type I. Zbl 1089.46036Ayupov, Sh. A. 1 2004 Real \(W^ *\)-algebras with an abelian Hermitian part. Zbl 1036.46045Ayupov, Sh.; Rakhimov, A. A.; Abduvaitov, A. Kh. 1 2002 On some classes of nilpotent Leibniz algebras. Zbl 1017.17002Ayupov, Sh. A.; Omirov, B. A. 57 2001 Derivations on algebras of measurable operators. Zbl 1005.46029Ayupov, Sh. A. 11 2000 Description of finite dimensional nilpotent complex Leibniz algebras with maximal nilindex. Zbl 0974.17001Ayupov, Sh. A.; Omirov, B. A. 3 1999 On Leibniz algebras. Zbl 0928.17001Ayupov, Sh. A.; Omirov, B. A. 44 1998 Algebra and operator theory. Proceedings of the colloquium, Tashkent, Uzbekistan, September 29–October 5, 1997. Zbl 0908.00015 1 1998 Jordan, real and Lie structures in operator algebras. Zbl 0908.17022Ayupov, Shavkat; Rakhimov, Abdugafur; Usmanov, Shukhrat 9 1997 Commutators and Lie isomorphisms of skew elements in prime operator algebras. Zbl 0852.17019Ayupov, Sh. A.; Azamov, N. A. 3 1996 Skew commutators and Lie isomorphisms in real von Neumann algebras. Zbl 0903.46057Ayupov, Shavkat A. 2 1996 Isomorphism between the associative and non-associative \(L_ p\)-spaces of type \(\text{II}_ 1\) hyperfinite factors. Zbl 0865.46048Ayupov, Sh. A.; Ferleger, S. V.; Sukochev, F. A. 1 1996 Anti-automorphisms of factors and Lie operator algebras. Zbl 0831.46071Ayupov, Shavkat A. 1 1995 The properties of the compactness and completeness of topological spaces and continuous mappings. Ed. by Sh. A. Ayupov. (O svojstvakh kompaktnosti i polnoty topologicheskikh prostranstv i nepreryvnykh otobrazhenij.) Zbl 0940.54001Musaev, D. K.; Pasynkov, B. A. 2 1994 On center-valued traces on real operator algebras. Zbl 0810.46070Ayupov, Sh. A. 2 1992 Linearity of multiplicative mappings of Jordan Banach algebras. Zbl 0723.46046Ayupov, Sh. A.; Adizov, A. A. 1 1990 A new proof of the existence of traces on Jordan operator algebras and real von Neumann algebras. Zbl 0684.46055Ayupov, Shavkat A. 2 1989 On the existence of a trace on a modular JW-factor. Zbl 0684.46056Ayupov, Sh. A. 1 1989 Traces on JW-algebras and enveloping \(W^ *\)-algebras. Zbl 0615.46057Ayupov, Shavkat A. 4 1987 Markov operators on quantum probability spaces. Zbl 0692.60087Ayupov, Sh. A.; Sarymsakov, T. A. 2 1987 Classification and representation of ordered Jordan algebras. (Классификации и представление упорядоченных Јордановых алгебр.) Zbl 0629.46045Ayupov, Sh. A. 20 1986 JW-factors and antiautomorphisms of von Neumann algebras. Zbl 0587.46057Ayupov, Sh. A. 1 1986 The Radon-Nikodym theorem for weights on semifinite JBW-algebras. Zbl 0567.46036Ayupov, Shavkat A.; Abdullaev, Rustam Z. 2 1985 JW-factors and anti-automorphisms of von Neumann algebras. Zbl 0573.46042Ayupov, Sh. A. 2 1985 Locally measurable operators for HW-algebras and the representation of ordered Jordan algebras. Zbl 0604.46065Ayupov, Sh. A. 1 1985 Locally measurable operators for JW-algebras and representation of ordered Jordan algebras. Zbl 0547.46042Ayupov, Sh. A. 1 1984 Ordered algebras. (Uporyadochennye algebry). Zbl 0542.46001Sarymsakov, T. A.; Ayupov, Sh. A.; Khadzhiev, Dzh.; Chilin, V. I. 14 1983 Integration on Jordan algebras. Zbl 0516.46044Ayupov, Sh. A. 2 1983 Types of Jordan algebras of self-adjoint operators and their enveloping von Neumann algebras. Zbl 0521.46059Ayupov, Sh. A. 1 1983 Extensions of traces and type criterions for Jordan algebras of self- adjoint operators. Zbl 0477.46056Ayupov, Sh. A. 7 1982 Homogeneous Markov chains on semifields. Zbl 0487.60011Ayupov, Sh. A.; Sarymsakov, T. A. 2 1982 Ergodic theorems for Markov operators in Jordan algebras. I. Zbl 0497.46043Ayupov, Sh. A. 2 1982 Ergodic theorems for Markov operators in Jordan algebras. II. Zbl 0515.46067Ayupov, Sh. A. 2 1982 On the construction of Jordan algebras of selfadjoint operators. Zbl 0528.46046Ayupov, Sh. A. 2 1982 Order properties of Jordan Banach algebras. Zbl 0615.46044Ayupov, Sh. A.; Khalmatov, R. R. 1 1982 Modular Jordan algebras of self-adjoint operators. Zbl 0515.46068Ayupov, Sh. A. 1 1982 Statistical ergodic theorems in Jordan algebras. Zbl 0493.47004Ayupov, Sh. A. 1 1981 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 340 Authors 57 Ayupov, Shavkat Abdullaevich 52 Omirov, Bakhrom A. 42 Kudaĭbergenov, Karimbergen Kadirbergenovich 27 Camacho, Luisa Maria 22 Khudoyberdiyev, Abror Kh. 17 Peralta, Antonio M. 15 Ladra González, Manuel 14 Ber, Aleksey Feliksovich 14 Calderón Martín, Antonio Jesús 12 Arzikulov, Farhodjon Nematjonovich 12 Gómez, José R. 12 Sukochev, Fedor Anatol’evich 11 Sánchez Delgado, José María 10 Albeverio, Sergio A. 8 Chilin, Vladimir Ivanovich 8 Navarro, Rosa María 7 Adashev, Jobir Q. 7 Casas Miras, José Manuel 7 Karimjanov, Ikboljon Abdulazizovich 6 Bikchentaev, Aĭrat Midkhatovich 6 Fang, Xiaochun 6 Li, Jiankui 6 Masutova, K. K. 6 Mukhamedov, Farruh Maksutovich 6 Rakhimov, Abdugafur Abdumadjidovich 6 Stitzinger, Ernest Lester 6 Yang, Bing 5 Barreiro, Elisabete 5 Cañete, Elisa M. 5 Kurdachenko, Leonid Andriĭovych 5 Lu, Fangyan 5 McAlister, Allison 5 Niazi, Mohsen 5 Pulmannová, Sylvia 5 Rakhimov, Isamiddin Sattarovich 4 Abdullaev, Rustam Z. 4 Chen, Liangyun 4 He, Jun 4 Hird, John T. 4 Huang, Jinghao 4 Huang, Wenbo 4 Kaygorodov, Ivan 4 Liu, Lei 4 Molnár, Lajos 4 Turdibaev, Rustam Mirzalievich 4 Zhao, Kaiming 3 Albuquerque, Helena 3 Batten Ray, Chelsie 3 Benayadi, Saïd 3 Bosko-Dunbar, Lindsey 3 Fialowski, Alice 3 Foulis, David James 3 Garcés, Jorge José 3 Hamhalter, Jan 3 Kurbanbaev, Tuuelbay K. 3 Kusraev, Anatoly Georgievich 3 Levitina, Galina Borisovna 3 Li, Lei 3 Mandal, Ashis 3 Miri, Mohammad Reza 3 Pypka, Alexsandr A. 3 Shabanskaya, Anastasia 3 Zhao, Xingpeng 2 Adizov, A. A. 2 Alauadinov, Amir 2 An, Guangyu 2 Arzikulov, Farkhad Nematjonovich 2 Bai, Yuxiu 2 Barnes, Donald W. 2 Beidar, Konstantin Igorevich 2 Beshimov, Gayrat R. 2 Beshimov, Ruzinazar B. 2 Biyogmam, Guy Roger 2 Boucetta, Mohamed 2 Bunce, Leslie J. 2 Burgos, María J. 2 Cao, Yan 2 Chebotar, Mikhail A. 2 Chen, Lin 2 Chen, Yuqun 2 Chen, Zhengxin 2 Demir, Ismail 2 Djabbarov, Gayratbay 2 Djumamuratov, Rauaj T. 2 Dunbar, Jonathan D. 2 Essaleh, Ahlem Ben Ali 2 Fernández-Polo, Francisco J. 2 Jamjoom, Fatmah Backer 2 Jordá, Enrique 2 Khadzhiev, Dzhavvat 2 Khalili, Zakiye 2 Klep, Igor 2 Li, Changjing 2 Ma, Yao 2 Mamadaliev, Nodirbek K. 2 Mhamdi, Fahmi 2 Militaru, Gigel 2 Misra, Kailash C. 2 Mukherjee, Goutam 2 Navarro Izquierdo, Francisco J. ...and 240 more Authors all top 5 Cited in 110 Serials 32 Communications in Algebra 25 Linear Algebra and its Applications 20 Linear and Multilinear Algebra 17 Journal of Algebra 12 Mathematical Notes 12 Journal of Geometry and Physics 12 Algebras and Representation Theory 12 Journal of Algebra and its Applications 10 Bulletin of the Malaysian Mathematical Sciences Society. 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