Edit Profile (opens in new tab) Zhuchok, Anatolii V. Co-Author Distance Author ID: zhuchok.anatolii-v Published as: Zhuchok, Anatolii V.; Zhuchok, A. V.; Zhuchok, Anatolij V.; Zhuchok, Anatolii; Zhuchok, Anatoliĭ Vladimirovich; Zhuchok, A. more...less External Links: Math-Net.Ru Documents Indexed: 70 Publications since 2002, including 3 Books 2 Contributions as Editor Co-Authors: 40 Co-Authors with 17 Joint Publications 1,120 Co-Co-Authors all top 5 Co-Authors 55 single-authored 5 Zhuchok, Yuliia V. 4 Zhuchok, Yurii V. 3 Bezushchak, Oksana O. 3 Kurdachenko, Leonid Andriĭovych 3 Petravchuk, Anatolii P. 3 Subbotin, Igor Yakov 2 Artemovych, Orest Dem”yanovych 2 Grigorchuk, Rostislav Ivanovich 2 Koppitz, Jörg 2 Kryklia, Yana A. 2 Lukashova, Tetyana D. 2 Oliynyk, A. S. 2 Oliynyk, B. V. 2 Pypka, Alexsandr A. 2 Tylyshchak, O. A. 1 Bondarenko, Vitalij M. 1 Demko, Milan 1 Dixon, Martyn Russell 1 Drozd, Yuriĭ Anatoliĭovych 1 Drushlyak, Maryna G. 1 Gorbatkov, Alexander B. 1 Knauer, Kolja B. 1 Komarnytskyy, Mykola Ya. 1 Kyrychenko, Volodymyr Vasyl’ovych 1 Lavrenyuk, Yaroslav V. 1 Lyubashenko, Volodymyr V. 1 Nekrashevych, Volodymyr V. 1 Novikov, Boris V. 1 Odintsova, Oksana O. 1 Otal, Javier 1 Pilz, Günter F. 1 Pratsiovytyi, Mykola 1 Protasov, Igor Volodymyrovych 1 Semko, Nikolaj N. 1 Sharyn, Sergii 1 Sushchans’kyĭ, Vitaliĭ Ivanovych 1 Zagorodnyuk, Andriy V. 1 Zarichnyi, Michael Mikhailovich 1 Zators’kyĭ, Roman Andriĭovych 1 Zel’manov, Efim Isaakovich all top 5 Serials 12 Algebra and Discrete Mathematics 7 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 6 Communications in Algebra 6 Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki 4 Semigroup Forum 3 Ukrainian Mathematical Journal 3 Buletinul Academiei de Științe a Republicii Moldova. Matematica 3 Asian-European Journal of Mathematics 2 Algebra Universalis 2 Matematychni Studiï 2 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 2 Izvestiya Gomel’skogo Gosudarstvennogo Universiteta Im. F. Skoriny 2 Visnyk Donets’kogo Universytetu. Seriya A. Pryrodnychi Nauky 2 Chebyshevskiĭ Sbornik 1 Mathematical Notes 1 Algebra and Logic 1 Demonstratio Mathematica 1 Siberian Mathematical Journal 1 Mathematica Pannonica 1 International Journal of Algebra and Computation 1 Journal of Mathematical Sciences (New York) 1 Lobachevskii Journal of Mathematics 1 Quasigroups and Related Systems 1 Journal of Algebra and its Applications 1 São Paulo Journal of Mathematical Sciences 1 Problemy Fiziki, Matematiki i Tekhniki 1 Carpathian Mathematical Publications 1 Lectures in Pure and Applied Mathematics all top 5 Fields 64 Group theory and generalizations (20-XX) 53 General algebraic systems (08-XX) 22 Nonassociative rings and algebras (17-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 53 Publications have been cited 356 times in 75 Documents Cited by ▼ Year ▼ Dialgebras. (Диалгебри.) Zbl 1249.17001 Zhuchok, A. V. 22 2011 Free commutative dimonoids. Zbl 1224.08002 Zhuchok, Anatolii V. 19 2010 Structure of relatively free dimonoids. Zbl 1371.08006 Zhuchok, Anatolii V. 18 2017 Trioids. Zbl 1331.08002 Zhuchok, Anatolii V. 16 2015 Free products of dimonoids. Zbl 1316.08004 Zhuchok, Anatolii V. 16 2013 Commutative dimonoids. Zbl 1199.08004 Zhuchok, Anatolii V. 14 2009 Dimonoids and bar-units. Zbl 1336.08001 Zhuchok, A. V. 14 2015 Free products of doppelsemigroups. Zbl 1373.08005 Zhuchok, Anatolii V. 14 2017 Free commutative trioids. Zbl 1411.18005 Zhuchok, Anatolii V. 14 2019 Free left \(n\)-dinilpotent doppelsemigroups. Zbl 1385.08001 Zhuchok, Anatolii V. 13 2017 Free \(n\)-dinilpotent doppelsemigroups. Zbl 1388.08002 Zhuchok, Anatolii V.; Demko, Milan 13 2016 Free left \(n\)-dinilpotent dimonoids. Zbl 1384.08002 Zhuchok, Anatolii; Zhuchok, Yuliia 13 2016 Dimonoids. Zbl 1259.08003 Zhuchok, A. V. 12 2011 Semilattices of subdimonoids. Zbl 1232.08002 Zhuchok, Anatolii V. 11 2011 Free \(n\)-nilpotent dimonoids. Zbl 1308.08004 Zhuchok, Anatolii V. 11 2013 Free dimonoids. Zbl 1246.08002 Zhuchok, A. V. 9 2011 On two classes of digroups. Zbl 1384.20059 Zhuchok, Anatolii; Zhuchok, Yurii 9 2017 Certain congruences on free trioids. Zbl 1423.08003 Zhuchok, Anatolii V.; Zhuchok, Yuliia V.; Zhuchok, Yurii V. 9 2019 Structure of free strong doppelsemigroups. Zbl 1436.08009 Zhuchok, Anatolii V. 8 2018 Free left \(n\)-trinilpotent trioids. Zbl 1454.08009 Zhuchok, Anatolii V.; Kryklia, Yana A. 8 2021 Elements of dimonoid theory. (Елементи теорії димоноїдів.) Zbl 1324.08001 Zhuchok, A. V. 6 2014 Relatively free doppelsemigroups. Zbl 1437.08001 Zhuchok, Anatolii V. 6 2018 Abelian doppelsemigroups. Zbl 1472.08008 Zhuchok, Anatolii V.; Knauer, Kolja 6 2018 On the structure of dimonoids. Zbl 1405.08003 Zhuchok, Anatolii V.; Gorbatkov, Alexander B. 5 2017 Free rectangular doppelsemigroups. Zbl 1454.08010 Zhuchok, Anatolii V.; Zhuchok, Yuliia V.; Koppitz, Jörg 5 2020 Free \(n\)-tuple semigroups. Zbl 1396.20066 Zhuchok, A. V. 5 2018 Free rectangular dibands and free dimonoids. Zbl 1279.08008 Zhuchok, Anatolii V. 5 2011 Dibands of subdimonoids. Zbl 1224.08001 Zhuchok, A. V. 4 2010 Tribands of subtrioids. Zbl 1249.08001 Zhuchok, A. V. 4 2010 Free products of \(n\)-tuple semigroups. Zbl 1450.20017 Zhuchok, A. V.; Koppitz, J. 4 2019 Some congruences on trioids. Zbl 1284.08015 Zhuchok, A. V. 4 2012 Free trioids. Zbl 1224.18007 Zhuchok, A. V. 3 2010 Semiretractions of dimonoids. Zbl 1249.08004 Zhuchok, Anatolii 3 2008 Free \(n\)-dinilpotent dimonoids. Zbl 1292.08002 Zhuchok, Anatolij V. 3 2013 Free rectangular \(n\)-tuple semigroups. Zbl 1435.20077 Zhuchok, Anatoliĭ Vladimirovich 3 2019 Semiretractions of free monoids. Zbl 1137.20308 Zhuchok, A. V. 2 2006 Dimonoids with idempotent operation. Zbl 1249.08002 Zhuchok, A. V. 2 2011 The least semilattice congruence on dimonoid. Zbl 1199.20102 Zhuchok, Anatolij V. 2 2009 Free \((\ell r,rr)\)-dibands. Zbl 1317.08004 Zhuchok, Anatolii V. 2 2013 Free left \(k\)-nilpotent \(n\)-tuple semigroups. Zbl 1477.20110 Zhuchok, Anatolii V.; Zhuchok, Yuliia V.; Odintsova, Oksana O. 2 2020 Free commutative \(g\)-dimonoids. Zbl 1440.08001 Zhuchok, A. V.; Zhuchok, Yu. V. 2 2015 The least dimonoid congruences on free \(n\)-nilpotent trioids. Zbl 1486.08005 Zhuchok, A. V. 2 2020 Structure of relatively free trioids. Zbl 1491.08013 Zhuchok, A. V. 2 2021 Relatively free dimonoids and bar-units. Zbl 1506.08009 Zhuchok, Anatolii V. 2 2021 Free normal idempotent semigroups. Zbl 1137.20309 Zhuchok, A. V. 1 2006 Endomorphism semigroups of free products. Zbl 1199.20101 Zhuchok, A. V. 1 2006 Free semigroups of idempotents. Zbl 1157.20333 Zhuchok, A. V. 1 2003 The translational hull of Clifford semigroup. Zbl 1164.20359 Zhuchok, Anatolij V. 1 2008 Some least congruences on dimonoids. Zbl 1249.08003 Zhuchok, A. V. 1 2011 Semiretractions of trioids. Zbl 1320.08004 Zhuchok, A. V. 1 2014 Certain congruences on free \(g\)-dimonoids. Zbl 1509.08003 Zhuchok, Anatolii V. 1 2022 Free normal dibands. Zbl 1279.08007 Zhuchok, Anatolii V. 1 2011 Semilattice decompositions of trioids. Zbl 1316.08002 Zhuchok, Anatolii V. 1 2013 Certain congruences on free \(g\)-dimonoids. Zbl 1509.08003 Zhuchok, Anatolii V. 1 2022 Free left \(n\)-trinilpotent trioids. Zbl 1454.08009 Zhuchok, Anatolii V.; Kryklia, Yana A. 8 2021 Structure of relatively free trioids. Zbl 1491.08013 Zhuchok, A. V. 2 2021 Relatively free dimonoids and bar-units. Zbl 1506.08009 Zhuchok, Anatolii V. 2 2021 Free rectangular doppelsemigroups. Zbl 1454.08010 Zhuchok, Anatolii V.; Zhuchok, Yuliia V.; Koppitz, Jörg 5 2020 Free left \(k\)-nilpotent \(n\)-tuple semigroups. Zbl 1477.20110 Zhuchok, Anatolii V.; Zhuchok, Yuliia V.; Odintsova, Oksana O. 2 2020 The least dimonoid congruences on free \(n\)-nilpotent trioids. Zbl 1486.08005 Zhuchok, A. V. 2 2020 Free commutative trioids. Zbl 1411.18005 Zhuchok, Anatolii V. 14 2019 Certain congruences on free trioids. Zbl 1423.08003 Zhuchok, Anatolii V.; Zhuchok, Yuliia V.; Zhuchok, Yurii V. 9 2019 Free products of \(n\)-tuple semigroups. Zbl 1450.20017 Zhuchok, A. V.; Koppitz, J. 4 2019 Free rectangular \(n\)-tuple semigroups. Zbl 1435.20077 Zhuchok, Anatoliĭ Vladimirovich 3 2019 Structure of free strong doppelsemigroups. Zbl 1436.08009 Zhuchok, Anatolii V. 8 2018 Relatively free doppelsemigroups. Zbl 1437.08001 Zhuchok, Anatolii V. 6 2018 Abelian doppelsemigroups. Zbl 1472.08008 Zhuchok, Anatolii V.; Knauer, Kolja 6 2018 Free \(n\)-tuple semigroups. Zbl 1396.20066 Zhuchok, A. V. 5 2018 Structure of relatively free dimonoids. Zbl 1371.08006 Zhuchok, Anatolii V. 18 2017 Free products of doppelsemigroups. Zbl 1373.08005 Zhuchok, Anatolii V. 14 2017 Free left \(n\)-dinilpotent doppelsemigroups. Zbl 1385.08001 Zhuchok, Anatolii V. 13 2017 On two classes of digroups. Zbl 1384.20059 Zhuchok, Anatolii; Zhuchok, Yurii 9 2017 On the structure of dimonoids. Zbl 1405.08003 Zhuchok, Anatolii V.; Gorbatkov, Alexander B. 5 2017 Free \(n\)-dinilpotent doppelsemigroups. Zbl 1388.08002 Zhuchok, Anatolii V.; Demko, Milan 13 2016 Free left \(n\)-dinilpotent dimonoids. Zbl 1384.08002 Zhuchok, Anatolii; Zhuchok, Yuliia 13 2016 Trioids. Zbl 1331.08002 Zhuchok, Anatolii V. 16 2015 Dimonoids and bar-units. Zbl 1336.08001 Zhuchok, A. V. 14 2015 Free commutative \(g\)-dimonoids. Zbl 1440.08001 Zhuchok, A. V.; Zhuchok, Yu. V. 2 2015 Elements of dimonoid theory. (Елементи теорії димоноїдів.) Zbl 1324.08001 Zhuchok, A. V. 6 2014 Semiretractions of trioids. Zbl 1320.08004 Zhuchok, A. V. 1 2014 Free products of dimonoids. Zbl 1316.08004 Zhuchok, Anatolii V. 16 2013 Free \(n\)-nilpotent dimonoids. Zbl 1308.08004 Zhuchok, Anatolii V. 11 2013 Free \(n\)-dinilpotent dimonoids. Zbl 1292.08002 Zhuchok, Anatolij V. 3 2013 Free \((\ell r,rr)\)-dibands. Zbl 1317.08004 Zhuchok, Anatolii V. 2 2013 Semilattice decompositions of trioids. Zbl 1316.08002 Zhuchok, Anatolii V. 1 2013 Some congruences on trioids. Zbl 1284.08015 Zhuchok, A. V. 4 2012 Dialgebras. (Диалгебри.) Zbl 1249.17001 Zhuchok, A. V. 22 2011 Dimonoids. Zbl 1259.08003 Zhuchok, A. V. 12 2011 Semilattices of subdimonoids. Zbl 1232.08002 Zhuchok, Anatolii V. 11 2011 Free dimonoids. Zbl 1246.08002 Zhuchok, A. V. 9 2011 Free rectangular dibands and free dimonoids. Zbl 1279.08008 Zhuchok, Anatolii V. 5 2011 Dimonoids with idempotent operation. Zbl 1249.08002 Zhuchok, A. V. 2 2011 Some least congruences on dimonoids. Zbl 1249.08003 Zhuchok, A. V. 1 2011 Free normal dibands. Zbl 1279.08007 Zhuchok, Anatolii V. 1 2011 Free commutative dimonoids. Zbl 1224.08002 Zhuchok, Anatolii V. 19 2010 Dibands of subdimonoids. Zbl 1224.08001 Zhuchok, A. V. 4 2010 Tribands of subtrioids. Zbl 1249.08001 Zhuchok, A. V. 4 2010 Free trioids. Zbl 1224.18007 Zhuchok, A. V. 3 2010 Commutative dimonoids. Zbl 1199.08004 Zhuchok, Anatolii V. 14 2009 The least semilattice congruence on dimonoid. Zbl 1199.20102 Zhuchok, Anatolij V. 2 2009 Semiretractions of dimonoids. Zbl 1249.08004 Zhuchok, Anatolii 3 2008 The translational hull of Clifford semigroup. Zbl 1164.20359 Zhuchok, Anatolij V. 1 2008 Semiretractions of free monoids. Zbl 1137.20308 Zhuchok, A. V. 2 2006 Free normal idempotent semigroups. Zbl 1137.20309 Zhuchok, A. V. 1 2006 Endomorphism semigroups of free products. Zbl 1199.20101 Zhuchok, A. V. 1 2006 Free semigroups of idempotents. Zbl 1157.20333 Zhuchok, A. V. 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 49 Authors 30 Zhuchok, Anatolii V. 9 Zhuchok, Yurii V. 6 Chen, Yuqun 5 Movsisyan, Yuri Movses 5 Zhuchok, Yuliia V. 4 Koppitz, Jörg 4 Zhang, Guangliang 3 Rodríguez-Nieto, José Gregorio 3 Salazar-Díaz, Olga Patricia 3 Velásquez, Raúl 3 Zhang, Zerui 2 Gavrylkiv, Volodymyr M. 2 Kryklia, Yana A. 2 Yolchyan, M. A. 1 Aleksandrov, Pavel Sergeevich 1 Bai, Yuxiu 1 Bandman, Tatiana M. 1 Bolsinov, Alexey V. 1 Gel’fond, Aleksandr Osipovich 1 Gorbatkov, Alexander B. 1 Huang, Juwei 1 Ilten, Nathan Owen 1 Jende, Alexander 1 Joseph, Anthony 1 Kalvouridis, Tilemahos J. 1 Knauer, Kolja B. 1 Kumduang, Thodsaporn 1 Marcus, Solomon 1 Mykytyuk, Ihor V. 1 Nogin, Dmitry Yu. 1 Odintsova, Oksana O. 1 Palavonov, K. K. 1 Pilz, Günter F. 1 Rendziak, Diana 1 Rényi, Alfréd 1 Rubinstein, Aleksandr Iosifovich 1 Shabozov, Mirgand Shabozovich 1 Smith, Jonathan Dallas Hayden 1 Sriwongsa, Songpon 1 Süss, Hendrik 1 Takács, Lajos 1 Trepalin, Andrey S. 1 Tsfasman, Michael A. 1 Vinberg, Èrnest Borisovich 1 Vlǎduţ, Sergei Georgievich 1 Yu, Bing 1 Zargeh, Chia 1 Zarkhin, Yuriĭ Gennad’evich 1 Zhang, Pumei all top 5 Cited in 31 Serials 8 Semigroup Forum 7 Communications in Algebra 7 Transformation Groups 7 Algebra and Discrete Mathematics 6 Acta Mathematica Academiae Scientiarum Hungaricae 5 Asian-European Journal of Mathematics 4 Algebra Universalis 3 Ukrainian Mathematical Journal 3 Armenian Journal of Mathematics 2 Analysis Mathematica 2 Journal of Mathematical Sciences (New York) 2 Matematychni Studiï 1 Astrophysics and Space Science 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Algebra and Logic 1 Demonstratio Mathematica 1 Results in Mathematics 1 Siberian Mathematical Journal 1 International Journal of Algebra and Computation 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Algebra Colloquium 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Lobachevskii Journal of Mathematics 1 Missouri Journal of Mathematical Sciences 1 Journal of Algebra and its Applications 1 Acta Physica Academiae Scientiarum Hungaricae 1 Chebyshevskiĭ Sbornik 1 São Paulo Journal of Mathematical Sciences 1 Open Mathematics all top 5 Cited in 20 Fields 46 Group theory and generalizations (20-XX) 43 General algebraic systems (08-XX) 30 Nonassociative rings and algebras (17-XX) 8 Associative rings and algebras (16-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 4 Algebraic geometry (14-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year