Edit Profile (opens in new tab) Chekhlov, Andreĭ Rostislavovich Co-Author Distance Author ID: chekhlov.andrey-r Published as: Chekhlov, A. R.; Chekhlov, Andrey R.; Chekhlov, Andrey; Chekhlov, Andreĭ Rostislavovich more...less Further Spellings: Чехлов Андрей Ростиславович External Links: ORCID · Math-Net.Ru · dblp Documents Indexed: 95 Publications since 1981, including 7 Additional arXiv Preprints Co-Authors: 11 Co-Authors with 40 Joint Publications 154 Co-Co-Authors all top 5 Co-Authors 55 single-authored 25 Danchev, Peter Vassilev 7 Keef, Patrick W. 7 Krylov, Pëtr Andreevich 5 Calugareanu, Grigore Dumitru jun. 5 Goldsmith, Brendan 1 Agafontseva, Mladena Vladimirovna 1 Bekker, Isaak Khaĭmovich 1 Breaz, Simion 1 Grinshpon, Samuil Yakovlevich 1 Ivanets, Olesya V. 1 Kopaneva, Lidiya Sergeevna all top 5 Serials 16 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 12 Mathematical Notes 10 Siberian Mathematical Journal 7 Journal of Mathematical Sciences (New York) 4 Soviet Mathematics 4 Abelevy Gruppy i Moduli 3 Forum Mathematicum 3 Russian Mathematics 3 Journal of Group Theory 2 Communications in Algebra 2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Mediterranean Journal of Mathematics 1 Matematicheskie Zametki 1 Algebra and Logic 1 Algebra i Logika 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Archiv der Mathematik 1 Journal of Algebra 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 International Journal of Algebra and Computation 1 Expositiones Mathematicae 1 Fundamental’naya i Prikladnaya Matematika 1 Hacettepe Journal of Mathematics and Statistics 1 International Electronic Journal of Algebra (IEJA) 1 Journal of Commutative Algebra all top 5 Fields 88 Group theory and generalizations (20-XX) 16 Associative rings and algebras (16-XX) 6 Topological groups, Lie groups (22-XX) 5 History and biography (01-XX) 2 Commutative algebra (13-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 335 times in 92 Documents Cited by ▼ Year ▼ On a class of endotransitive groups. Zbl 1016.20037 Chekhlov, A. R. 21 2001 Abelian groups with normal endomorphism rings. Zbl 1245.20069 Chekhlov, A. R. 21 2009 On decomposable fully transitive torsion-free groups. Zbl 1003.20048 Chekhlov, A. R. 15 2001 On abelian groups having all proper fully invariant subgroups isomorphic. Zbl 1333.20052 Chekhlov, A. R.; Danchev, P. V. 12 2015 Totally transitive torsion-free groups of finite \(p\)-rank. Zbl 1017.20046 Chekhlov, A. R. 11 2001 Commutator invariant subgroups of Abelian groups. Zbl 1210.20053 Chekhlov, A. R. 11 2010 Separable and vector groups whose projectively invariant subgroups are fully invariant. Zbl 1212.20073 Chekhlov, A. R. 11 2009 On fully inert subgroups of completely decomposable groups. Zbl 1387.20045 Chekhlov, A. R. 10 2017 On projective invariant subgroups of Abelian groups. Zbl 1288.20076 Chekhlov, A. R. 9 2010 On the projective commutant of Abelian groups. Zbl 1281.20064 Chekhlov, A. R. 9 2012 Direct products and direct sums of torsion-free Abelian QCPI-groups. Zbl 0738.20054 Chekhlov, A. R. 8 1990 Torsion-free Abelian groups with large number of endomorphisms. Zbl 1121.20311 Krylov, P. A.; Chekhlov, A. R. 8 2001 Abelian groups with nilpotent commutators of endomorphisms. Zbl 1271.20067 Chekhlov, A. R. 8 2012 Fully inert subgroups of completely decomposable finite rank groups and their commensurability. Zbl 07606842 Chekhlov, A. R. 8 2016 Abelian torsion-free CS-groups. Zbl 0714.20040 Chekhlov, A. R. 7 1990 On L. Fuchs’ problems 17 and 43. Zbl 1154.20046 Chekhlov, A. R.; Krylov, P. A. 7 2007 Torsion-free Abelian groups close to algebraically compact ones. Zbl 0859.20045 Bekker, I. Kh.; Krylov, P. A.; Chekhlov, A. R. 7 1994 On projectively soluble Abelian groups. Zbl 1271.16006 Chekhlov, A. R. 7 2012 Properties of projective invariant subgroups of abelian groups. Zbl 1504.20053 Chekhlov, A. R. 7 2008 On strongly invariant subgroups of abelian groups. Zbl 1380.20055 Chekhlov, A. R. 6 2017 Abelian CS-groups without torsion. Zbl 0714.20041 Chekhlov, A. R. 6 1988 On commutator fully transitive abelian groups. Zbl 1325.20049 Chekhlov, Andrey R.; Danchev, Peter V. 6 2015 On some classes of torsion-free Abelian groups close to quasi-pure- injective ones. Zbl 0588.20031 Chekhlov, A. R. 6 1985 On the socles of fully inert subgroups of abelian \(p\)-groups. Zbl 1496.20085 Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 6 2021 Quasipure-injective torsion-free Abelian groups. Zbl 0692.20043 Chekhlov, A. R. 5 1989 On Abelian groups with commuting monomorphisms. Zbl 1293.20053 Chekhlov, A. R. 5 2013 Torsion-free weakly transitive \(E\)-Engel abelian groups. Zbl 1330.20080 Chekhlov, A. R. 5 2013 On weakly quasipure injective groups. Zbl 1139.20051 Chekhlov, A. R. 5 2007 On projectively Krylov transitive and projectively weakly transitive abelian \(p\)-groups. Zbl 1367.20062 Chekhlov, Andrey R.; Danchev, Peter V. 4 2017 On fully quasitransitive abelian groups. Zbl 1359.20033 Chekhlov, A. R. 4 2016 Quasipure injective torsion-free groups with indecomposable pure subgroups. Zbl 1009.20064 Chekhlov, A. R. 4 2000 On quasi-closed mixed groups. Zbl 1026.20035 Chekhlov, A. R. 4 2002 Generalizations of fully transitive and valuated abelian \(p\)-groups. Zbl 1473.20056 Chekhlov, Andrey R.; Danchev, Peter V.; Keef, Patrick W. 4 2021 Quasipure injective torsion-free Abelian groups. Zbl 0697.20044 Chekhlov, A. R. 3 1989 Cohesive quasipure-injective Abelian groups. Zbl 0694.20034 Chekhlov, A. R. 3 1989 On some classes of nilgroups. Zbl 1336.20052 Chekhlov, A. R. 3 2012 On Abelian torsion-free QCS-groups. Zbl 0858.20042 Chekhlov, A. R. 3 1994 \(E\)-solvable modules. Zbl 1263.16008 Chekhlov, A. R. 3 2012 Subgroups generated by images of endomorphisms of abelian groups and duality. Zbl 1437.20048 Călugăreanu, Grigore; Chekhlov, Andrey R.; Krylov, Piotr A. 3 2018 On abelian groups, in which all subgroups are ideals. Zbl 1515.20286 Chekhlov, Andreĭ Rostislavovich 3 2009 On the socles of characteristically inert subgroups of abelian \(p\)-groups. Zbl 1498.20134 Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 3 2021 On a direct sum of irreducible groups. Zbl 1327.20053 Chekhlov, A. R. 3 2015 On the Bassian property for abelian groups. Zbl 1497.20058 Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 3 2021 A generalization of co-Hopfian abelian groups. Zbl 1371.20052 Chekhlov, Andrey; Danchev, Peter 2 2017 On Abelian groups close to \(E\)-solvable groups. Zbl 1307.20045 Chekhlov, A. R. 2 2014 Indecomposable torsion-free Abelian QCPI groups of \(p\)-rank \(\geq 2^{\aleph_ 0}\). Zbl 0820.20064 Chekhlov, A. R. 2 1990 On abelian groups with right-invariant isometries. Zbl 1303.20057 Chekhlov, A. R. 2 2014 Cohesive quasipure-injective Abelian groups. Zbl 0702.20038 Chekhlov, A. R. 2 1989 On mixed \(cs\)-groups. Zbl 1079.20071 Chekhlov, A. R. 2 2005 Intersection of direct summands of Abelian p-groups. Zbl 0533.20024 Chekhlov, A. R. 2 1981 On abelian groups having isomorphic proper characteristic subgroups. Zbl 1535.20277 Chekhlov, Andrey R.; Danchev, Peter V. 2 2023 Weakly fully and characteristically inert socle-regular abelian \(p\)-groups. Zbl 1510.20049 Chekhlov, Andrey R.; Danchev, Peter V. 2 2022 E-nilpotent and E-solvable abelian groups of class 2. Zbl 07591889 Chekhlov, A. R. 2 2010 On the generalized Bassian property for abelian groups. Zbl 1524.20044 Chekhlov, A. R.; Danchev, P. V.; Goldsmith, B. 2 2022 Intermediately fully invariant subgroups of abelian groups. Zbl 1400.20054 Chekhlov, A. R. 1 2017 The strongly invariant extending property for abelian groups. Zbl 1450.20015 Chekhlov, Andrey R.; Danchev, Peter V. 1 2019 On commutator Krylov transitive and commutator weakly transitive abelian \(p\)-groups. Zbl 1464.20017 Chekhlov, Andrey R.; Danchev, Peter V. 1 2019 Universally fully and Krylov transitive torsion-free abelian groups. Zbl 1501.20008 Chekhlov, Andrey R.; Danchev, Peter V.; Keef, Patrick W. 1 2022 On abelian groups having isomorphic proper strongly invariant subgroups. Zbl 1540.20109 Chekhlov, A. R.; Danchev, P. V. 1 2023 Abelian groups with annihilator ideals of endomorphism rings. Zbl 1403.20063 Chekhlov, A. R. 1 2018 E-engelian abelian groups of step \(\le2\). Zbl 07592890 Chekhlov, A. R. 1 2012 The first head of the Department of Algebra in Tomsk State University. Zbl 1503.01053 Krylov, P. A.; Chekhlov, A. R. 1 2012 On projectively inert subgroups of completely decomposable finite rank groups. Zbl 1529.20092 Chekhlov, A. R.; Ivanets, O. V. 1 2020 On direct sums of cyclic groups with invariant monomorphisms. Zbl 07607416 Chekhlov, A. R. 1 2013 On the socles of strongly inert subgroups of abelian \(p \)-groups. Zbl 1514.20202 Chekhlov, A. R.; Danchev, P. V. 1 2023 \(n\)-Hopfian and \(n\)-co-Hopfian abelian groups. Zbl 1488.20077 Chekhlov, Andrey; Danchev, Peter 1 2019 Projectively invariant subgroups of abelian \(p\)-groups. Zbl 1478.20037 Chekhlov, A. R. 1 2021 A generalization of Hopfian abelian groups. Zbl 1399.20054 Chekhlov, Andrey; Danchev, Peter 1 2017 On abelian groups with commutative commutators of endomorphisms. Zbl 1405.20053 Chekhlov, A. R. 1 2018 Strictly invariant submodules. Zbl 1471.20037 Breaz, Simion; Călugăreanu, Grigore; Chekhlov, Andrey 1 2019 On abelian groups having isomorphic proper characteristic subgroups. Zbl 1535.20277 Chekhlov, Andrey R.; Danchev, Peter V. 2 2023 On abelian groups having isomorphic proper strongly invariant subgroups. Zbl 1540.20109 Chekhlov, A. R.; Danchev, P. V. 1 2023 On the socles of strongly inert subgroups of abelian \(p \)-groups. Zbl 1514.20202 Chekhlov, A. R.; Danchev, P. V. 1 2023 Weakly fully and characteristically inert socle-regular abelian \(p\)-groups. Zbl 1510.20049 Chekhlov, Andrey R.; Danchev, Peter V. 2 2022 On the generalized Bassian property for abelian groups. Zbl 1524.20044 Chekhlov, A. R.; Danchev, P. V.; Goldsmith, B. 2 2022 Universally fully and Krylov transitive torsion-free abelian groups. Zbl 1501.20008 Chekhlov, Andrey R.; Danchev, Peter V.; Keef, Patrick W. 1 2022 On the socles of fully inert subgroups of abelian \(p\)-groups. Zbl 1496.20085 Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 6 2021 Generalizations of fully transitive and valuated abelian \(p\)-groups. Zbl 1473.20056 Chekhlov, Andrey R.; Danchev, Peter V.; Keef, Patrick W. 4 2021 On the socles of characteristically inert subgroups of abelian \(p\)-groups. Zbl 1498.20134 Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 3 2021 On the Bassian property for abelian groups. Zbl 1497.20058 Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 3 2021 Projectively invariant subgroups of abelian \(p\)-groups. Zbl 1478.20037 Chekhlov, A. R. 1 2021 On projectively inert subgroups of completely decomposable finite rank groups. Zbl 1529.20092 Chekhlov, A. R.; Ivanets, O. V. 1 2020 The strongly invariant extending property for abelian groups. Zbl 1450.20015 Chekhlov, Andrey R.; Danchev, Peter V. 1 2019 On commutator Krylov transitive and commutator weakly transitive abelian \(p\)-groups. Zbl 1464.20017 Chekhlov, Andrey R.; Danchev, Peter V. 1 2019 \(n\)-Hopfian and \(n\)-co-Hopfian abelian groups. Zbl 1488.20077 Chekhlov, Andrey; Danchev, Peter 1 2019 Strictly invariant submodules. Zbl 1471.20037 Breaz, Simion; Călugăreanu, Grigore; Chekhlov, Andrey 1 2019 Subgroups generated by images of endomorphisms of abelian groups and duality. Zbl 1437.20048 Călugăreanu, Grigore; Chekhlov, Andrey R.; Krylov, Piotr A. 3 2018 Abelian groups with annihilator ideals of endomorphism rings. Zbl 1403.20063 Chekhlov, A. R. 1 2018 On abelian groups with commutative commutators of endomorphisms. Zbl 1405.20053 Chekhlov, A. R. 1 2018 On fully inert subgroups of completely decomposable groups. Zbl 1387.20045 Chekhlov, A. R. 10 2017 On strongly invariant subgroups of abelian groups. Zbl 1380.20055 Chekhlov, A. R. 6 2017 On projectively Krylov transitive and projectively weakly transitive abelian \(p\)-groups. Zbl 1367.20062 Chekhlov, Andrey R.; Danchev, Peter V. 4 2017 A generalization of co-Hopfian abelian groups. Zbl 1371.20052 Chekhlov, Andrey; Danchev, Peter 2 2017 Intermediately fully invariant subgroups of abelian groups. Zbl 1400.20054 Chekhlov, A. R. 1 2017 A generalization of Hopfian abelian groups. Zbl 1399.20054 Chekhlov, Andrey; Danchev, Peter 1 2017 Fully inert subgroups of completely decomposable finite rank groups and their commensurability. Zbl 07606842 Chekhlov, A. R. 8 2016 On fully quasitransitive abelian groups. Zbl 1359.20033 Chekhlov, A. R. 4 2016 On abelian groups having all proper fully invariant subgroups isomorphic. Zbl 1333.20052 Chekhlov, A. R.; Danchev, P. V. 12 2015 On commutator fully transitive abelian groups. Zbl 1325.20049 Chekhlov, Andrey R.; Danchev, Peter V. 6 2015 On a direct sum of irreducible groups. Zbl 1327.20053 Chekhlov, A. R. 3 2015 On Abelian groups close to \(E\)-solvable groups. Zbl 1307.20045 Chekhlov, A. R. 2 2014 On abelian groups with right-invariant isometries. Zbl 1303.20057 Chekhlov, A. R. 2 2014 On Abelian groups with commuting monomorphisms. Zbl 1293.20053 Chekhlov, A. R. 5 2013 Torsion-free weakly transitive \(E\)-Engel abelian groups. Zbl 1330.20080 Chekhlov, A. R. 5 2013 On direct sums of cyclic groups with invariant monomorphisms. Zbl 07607416 Chekhlov, A. R. 1 2013 On the projective commutant of Abelian groups. Zbl 1281.20064 Chekhlov, A. R. 9 2012 Abelian groups with nilpotent commutators of endomorphisms. Zbl 1271.20067 Chekhlov, A. R. 8 2012 On projectively soluble Abelian groups. Zbl 1271.16006 Chekhlov, A. R. 7 2012 On some classes of nilgroups. Zbl 1336.20052 Chekhlov, A. R. 3 2012 \(E\)-solvable modules. Zbl 1263.16008 Chekhlov, A. R. 3 2012 E-engelian abelian groups of step \(\le2\). Zbl 07592890 Chekhlov, A. R. 1 2012 The first head of the Department of Algebra in Tomsk State University. Zbl 1503.01053 Krylov, P. A.; Chekhlov, A. R. 1 2012 Commutator invariant subgroups of Abelian groups. Zbl 1210.20053 Chekhlov, A. R. 11 2010 On projective invariant subgroups of Abelian groups. Zbl 1288.20076 Chekhlov, A. R. 9 2010 E-nilpotent and E-solvable abelian groups of class 2. Zbl 07591889 Chekhlov, A. R. 2 2010 Abelian groups with normal endomorphism rings. Zbl 1245.20069 Chekhlov, A. R. 21 2009 Separable and vector groups whose projectively invariant subgroups are fully invariant. Zbl 1212.20073 Chekhlov, A. R. 11 2009 On abelian groups, in which all subgroups are ideals. Zbl 1515.20286 Chekhlov, Andreĭ Rostislavovich 3 2009 Properties of projective invariant subgroups of abelian groups. Zbl 1504.20053 Chekhlov, A. R. 7 2008 On L. Fuchs’ problems 17 and 43. Zbl 1154.20046 Chekhlov, A. R.; Krylov, P. A. 7 2007 On weakly quasipure injective groups. Zbl 1139.20051 Chekhlov, A. R. 5 2007 On mixed \(cs\)-groups. Zbl 1079.20071 Chekhlov, A. R. 2 2005 On quasi-closed mixed groups. Zbl 1026.20035 Chekhlov, A. R. 4 2002 On a class of endotransitive groups. Zbl 1016.20037 Chekhlov, A. R. 21 2001 On decomposable fully transitive torsion-free groups. Zbl 1003.20048 Chekhlov, A. R. 15 2001 Totally transitive torsion-free groups of finite \(p\)-rank. Zbl 1017.20046 Chekhlov, A. R. 11 2001 Torsion-free Abelian groups with large number of endomorphisms. Zbl 1121.20311 Krylov, P. A.; Chekhlov, A. R. 8 2001 Quasipure injective torsion-free groups with indecomposable pure subgroups. Zbl 1009.20064 Chekhlov, A. R. 4 2000 Torsion-free Abelian groups close to algebraically compact ones. Zbl 0859.20045 Bekker, I. Kh.; Krylov, P. A.; Chekhlov, A. R. 7 1994 On Abelian torsion-free QCS-groups. Zbl 0858.20042 Chekhlov, A. R. 3 1994 Direct products and direct sums of torsion-free Abelian QCPI-groups. Zbl 0738.20054 Chekhlov, A. R. 8 1990 Abelian torsion-free CS-groups. Zbl 0714.20040 Chekhlov, A. R. 7 1990 Indecomposable torsion-free Abelian QCPI groups of \(p\)-rank \(\geq 2^{\aleph_ 0}\). Zbl 0820.20064 Chekhlov, A. R. 2 1990 Quasipure-injective torsion-free Abelian groups. Zbl 0692.20043 Chekhlov, A. R. 5 1989 Quasipure injective torsion-free Abelian groups. Zbl 0697.20044 Chekhlov, A. R. 3 1989 Cohesive quasipure-injective Abelian groups. Zbl 0694.20034 Chekhlov, A. R. 3 1989 Cohesive quasipure-injective Abelian groups. Zbl 0702.20038 Chekhlov, A. R. 2 1989 Abelian CS-groups without torsion. Zbl 0714.20041 Chekhlov, A. R. 6 1988 On some classes of torsion-free Abelian groups close to quasi-pure- injective ones. Zbl 0588.20031 Chekhlov, A. R. 6 1985 Intersection of direct summands of Abelian p-groups. Zbl 0533.20024 Chekhlov, A. R. 2 1981 all cited Publications top 5 cited Publications all top 5 Cited by 32 Authors 56 Chekhlov, Andreĭ Rostislavovich 17 Danchev, Peter Vassilev 8 Krylov, Pëtr Andreevich 7 Keef, Patrick W. 5 Goldsmith, Brendan 5 Tuganbaev, Askar Akanovich 4 Calugareanu, Grigore Dumitru jun. 4 Grinshpon, Samuil Yakovlevich 4 Misyakov, Victor Mikhajlovich 2 Breaz, Simion 2 Dardano, Ulderico 2 Dikranjan, Dikran N. 2 Fomin, Aleksandr Aleksandrovich 2 Mishina, Anna Petrovna 2 Rogozinsky, Mikhail Ivanovich 2 Salce, Luigi 1 Agafontseva, Mladena Vladimirovna 1 Chedushev, Sergei Mikhailovich 1 Chekhlov, Andreĭ Postislavovich 1 Grinshpon, Irina Eduardovna 1 Hasan, Ayazul 1 Ivanets, Olesya V. 1 Kaigorodov, Evgeny Vladimirovich 1 Kemoklidze, Tariel 1 Kompantseva, Ekaterina Igorevna 1 Liu, Heguo 1 Mikhalëv, Aleksandr Vasil’evich 1 Prikhodovskiĭ, Mikhail Anatol’evich 1 Rinauro, Silvana 1 Sorokin, Konstantin Sergeevich 1 Woronowicz, Mateusz 1 Zhou, Chunbo all top 5 Cited in 27 Serials 19 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 17 Journal of Mathematical Sciences (New York) 10 Mathematical Notes 9 Siberian Mathematical Journal 4 Communications in Algebra 4 Journal of Group Theory 3 Forum Mathematicum 3 Russian Mathematics 2 International Journal of Algebra and Computation 2 Mediterranean Journal of Mathematics 2 Journal of Commutative Algebra 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Archiv der Mathematik 1 Journal of Pure and Applied Algebra 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Expositiones Mathematicae 1 Annales Mathematicae Silesianae 1 Hacettepe Journal of Mathematics and Statistics 1 Chebyshevskiĭ Sbornik 1 International Electronic Journal of Algebra (IEJA) 1 São Paulo Journal of Mathematical Sciences 1 International Journal of Group Theory 1 Topological Algebra and its Applications all top 5 Cited in 9 Fields 86 Group theory and generalizations (20-XX) 25 Associative rings and algebras (16-XX) 11 Topological groups, Lie groups (22-XX) 5 Commutative algebra (13-XX) 3 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Quantum theory (81-XX) Citations by Year