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: 86 Publications since 1981 Co-Authors: 11 Co-Authors with 31 Joint Publications 136 Co-Co-Authors all top 5 Co-Authors 55 single-authored 17 Danchev, Peter Vassilev 7 Krylov, Pëtr Andreevich 4 Calugareanu, Grigore Dumitru jun. 4 Goldsmith, Brendan 3 Keef, Patrick W. 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 11 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) all top 5 Fields 80 Group theory and generalizations (20-XX) 15 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 61 Publications have been cited 294 times in 81 Documents Cited by ▼ Year ▼ Abelian groups with normal endomorphism rings. Zbl 1245.20069Chekhlov, A. R. 21 2009 On a class of endotransitive groups. Zbl 1016.20037Chekhlov, A. R. 21 2001 On decomposable fully transitive torsion-free groups. Zbl 1003.20048Chekhlov, A. R. 15 2001 Totally transitive torsion-free groups of finite \(p\)-rank. Zbl 1017.20046Chekhlov, A. R. 11 2001 Commutator invariant subgroups of Abelian groups. Zbl 1210.20053Chekhlov, A. R. 11 2010 Separable and vector groups whose projectively invariant subgroups are fully invariant. Zbl 1212.20073Chekhlov, A. R. 11 2009 On the projective commutant of Abelian groups. Zbl 1281.20064Chekhlov, A. R. 9 2012 On fully inert subgroups of completely decomposable groups. Zbl 1387.20045Chekhlov, A. R. 9 2017 On projective invariant subgroups of Abelian groups. Zbl 1288.20076Chekhlov, A. R. 9 2010 Direct products and direct sums of torsion-free Abelian QCPI-groups. Zbl 0738.20054Chekhlov, A. R. 8 1990 Torsion-free Abelian groups with large number of endomorphisms. Zbl 1121.20311Krylov, P. A.; Chekhlov, A. R. 8 2001 On abelian groups having all proper fully invariant subgroups isomorphic. Zbl 1333.20052Chekhlov, A. R.; Danchev, P. V. 8 2015 Abelian torsion-free CS-groups. Zbl 0714.20040Chekhlov, A. R. 7 1990 On projectively soluble Abelian groups. Zbl 1271.16006Chekhlov, A. R. 7 2012 Abelian groups with nilpotent commutators of endomorphisms. Zbl 1271.20067Chekhlov, A. R. 7 2012 Fully inert subgroups of completely decomposable finite rank groups and their commensurability. Zbl 07606842Chekhlov, A. R. 7 2016 Torsion-free Abelian groups close to algebraically compact ones. Zbl 0859.20045Bekker, I. Kh.; Krylov, P. A.; Chekhlov, A. R. 7 1994 On L. Fuchs’ problems 17 and 43. Zbl 1154.20046Chekhlov, A. R.; Krylov, P. A. 7 2007 On some classes of torsion-free Abelian groups close to quasi-pure- injective ones. Zbl 0588.20031Chekhlov, A. R. 6 1985 Abelian CS-groups without torsion. Zbl 0714.20041Chekhlov, A. R. 6 1988 On commutator fully transitive abelian groups. Zbl 1325.20049Chekhlov, Andrey R.; Danchev, Peter V. 6 2015 Quasipure-injective torsion-free Abelian groups. Zbl 0692.20043Chekhlov, A. R. 5 1989 On Abelian groups with commuting monomorphisms. Zbl 1293.20053Chekhlov, A. R. 5 2013 Torsion-free weakly transitive \(E\)-Engel abelian groups. Zbl 1330.20080Chekhlov, A. R. 5 2013 On weakly quasipure injective groups. Zbl 1139.20051Chekhlov, A. R. 5 2007 Quasipure injective torsion-free groups with indecomposable pure subgroups. Zbl 1009.20064Chekhlov, A. R. 4 2000 On quasi-closed mixed groups. Zbl 1026.20035Chekhlov, A. R. 4 2002 On projectively Krylov transitive and projectively weakly transitive abelian \(p\)-groups. Zbl 1367.20062Chekhlov, Andrey R.; Danchev, Peter V. 4 2017 On fully quasitransitive abelian groups. Zbl 1359.20033Chekhlov, A. R. 4 2016 On the socles of fully inert subgroups of abelian \(p\)-groups. Zbl 1496.20085Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 4 2021 Subgroups generated by images of endomorphisms of abelian groups and duality. Zbl 1437.20048Călugăreanu, Grigore; Chekhlov, Andrey R.; Krylov, Piotr A. 3 2018 Quasipure injective torsion-free Abelian groups. Zbl 0697.20044Chekhlov, A. R. 3 1989 On some classes of nilgroups. Zbl 1336.20052Chekhlov, A. R. 3 2012 On Abelian torsion-free QCS-groups. Zbl 0858.20042Chekhlov, A. R. 3 1994 On strongly invariant subgroups of abelian groups. Zbl 1380.20055Chekhlov, A. R. 3 2017 Generalizations of fully transitive and valuated abelian \(p\)-groups. Zbl 1473.20056Chekhlov, Andrey R.; Danchev, Peter V.; Keef, Patrick W. 3 2021 Indecomposable torsion-free Abelian QCPI groups of \(p\)-rank \(\geq 2^{\aleph_ 0}\). Zbl 0820.20064Chekhlov, A. R. 2 1990 Intersection of direct summands of Abelian p-groups. Zbl 0533.20024Chekhlov, A. R. 2 1981 Cohesive quasipure-injective Abelian groups. Zbl 0694.20034Chekhlov, A. R. 2 1989 Cohesive quasipure-injective Abelian groups. Zbl 0702.20038Chekhlov, A. R. 2 1989 \(E\)-solvable modules. Zbl 1263.16008Chekhlov, A. R. 2 2012 On mixed \(cs\)-groups. Zbl 1079.20071Chekhlov, A. R. 2 2005 On a direct sum of irreducible groups. Zbl 1327.20053Chekhlov, A. R. 2 2015 On abelian groups with right-invariant isometries. Zbl 1303.20057Chekhlov, A. R. 2 2014 A generalization of co-Hopfian abelian groups. Zbl 1371.20052Chekhlov, Andrey; Danchev, Peter 2 2017 On Abelian groups close to \(E\)-solvable groups. Zbl 1307.20045Chekhlov, A. R. 2 2014 On commutator Krylov transitive and commutator weakly transitive abelian \(p\)-groups. Zbl 1464.20017Chekhlov, Andrey R.; Danchev, Peter V. 1 2019 A generalization of Hopfian abelian groups. Zbl 1399.20054Chekhlov, Andrey; Danchev, Peter 1 2017 On abelian groups with commutative commutators of endomorphisms. Zbl 1405.20053Chekhlov, A. R. 1 2018 Strictly invariant submodules. Zbl 1471.20037Breaz, Simion; Călugăreanu, Grigore; Chekhlov, Andrey 1 2019 Abelian groups with annihilator ideals of endomorphism rings. Zbl 1403.20063Chekhlov, A. R. 1 2018 Universally fully and Krylov transitive torsion-free abelian groups. Zbl 1501.20008Chekhlov, Andrey R.; Danchev, Peter V.; Keef, Patrick W. 1 2022 Weakly fully and characteristically inert socle-regular abelian \(p\)-groups. Zbl 1510.20049Chekhlov, Andrey R.; Danchev, Peter V. 1 2022 On abelian groups, in which all subgroups are ideals. Zbl 1515.20286Chekhlov, Andreĭ Rostislavovich 1 2009 On direct sums of cyclic groups with invariant monomorphisms. Zbl 07607416Chekhlov, A. R. 1 2013 On the Bassian property for abelian groups. Zbl 1497.20058Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 1 2021 Projectively invariant subgroups of abelian \(p\)-groups. Zbl 1478.20037Chekhlov, A. R. 1 2021 \(n\)-Hopfian and \(n\)-co-Hopfian abelian groups. Zbl 1488.20077Chekhlov, Andrey; Danchev, Peter 1 2019 Intermediately fully invariant subgroups of abelian groups. Zbl 1400.20054Chekhlov, A. R. 1 2017 On the socles of characteristically inert subgroups of abelian \(p\)-groups. Zbl 1498.20134Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 1 2021 On projectively inert subgroups of completely decomposable finite rank groups. Zbl 07609305Chekhlov, A. R.; Ivanets, O. V. 1 2020 Universally fully and Krylov transitive torsion-free abelian groups. Zbl 1501.20008Chekhlov, Andrey R.; Danchev, Peter V.; Keef, Patrick W. 1 2022 Weakly fully and characteristically inert socle-regular abelian \(p\)-groups. Zbl 1510.20049Chekhlov, Andrey R.; Danchev, Peter V. 1 2022 On the socles of fully inert subgroups of abelian \(p\)-groups. Zbl 1496.20085Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 4 2021 Generalizations of fully transitive and valuated abelian \(p\)-groups. Zbl 1473.20056Chekhlov, Andrey R.; Danchev, Peter V.; Keef, Patrick W. 3 2021 On the Bassian property for abelian groups. Zbl 1497.20058Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 1 2021 Projectively invariant subgroups of abelian \(p\)-groups. Zbl 1478.20037Chekhlov, A. R. 1 2021 On the socles of characteristically inert subgroups of abelian \(p\)-groups. Zbl 1498.20134Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan 1 2021 On projectively inert subgroups of completely decomposable finite rank groups. Zbl 07609305Chekhlov, A. R.; Ivanets, O. V. 1 2020 On commutator Krylov transitive and commutator weakly transitive abelian \(p\)-groups. Zbl 1464.20017Chekhlov, Andrey R.; Danchev, Peter V. 1 2019 Strictly invariant submodules. Zbl 1471.20037Breaz, Simion; Călugăreanu, Grigore; Chekhlov, Andrey 1 2019 \(n\)-Hopfian and \(n\)-co-Hopfian abelian groups. Zbl 1488.20077Chekhlov, Andrey; Danchev, Peter 1 2019 Subgroups generated by images of endomorphisms of abelian groups and duality. Zbl 1437.20048Călugăreanu, Grigore; Chekhlov, Andrey R.; Krylov, Piotr A. 3 2018 On abelian groups with commutative commutators of endomorphisms. Zbl 1405.20053Chekhlov, A. R. 1 2018 Abelian groups with annihilator ideals of endomorphism rings. Zbl 1403.20063Chekhlov, A. R. 1 2018 On fully inert subgroups of completely decomposable groups. Zbl 1387.20045Chekhlov, A. R. 9 2017 On projectively Krylov transitive and projectively weakly transitive abelian \(p\)-groups. Zbl 1367.20062Chekhlov, Andrey R.; Danchev, Peter V. 4 2017 On strongly invariant subgroups of abelian groups. Zbl 1380.20055Chekhlov, A. R. 3 2017 A generalization of co-Hopfian abelian groups. Zbl 1371.20052Chekhlov, Andrey; Danchev, Peter 2 2017 A generalization of Hopfian abelian groups. Zbl 1399.20054Chekhlov, Andrey; Danchev, Peter 1 2017 Intermediately fully invariant subgroups of abelian groups. Zbl 1400.20054Chekhlov, A. R. 1 2017 Fully inert subgroups of completely decomposable finite rank groups and their commensurability. Zbl 07606842Chekhlov, A. R. 7 2016 On fully quasitransitive abelian groups. Zbl 1359.20033Chekhlov, A. R. 4 2016 On abelian groups having all proper fully invariant subgroups isomorphic. Zbl 1333.20052Chekhlov, A. R.; Danchev, P. V. 8 2015 On commutator fully transitive abelian groups. Zbl 1325.20049Chekhlov, Andrey R.; Danchev, Peter V. 6 2015 On a direct sum of irreducible groups. Zbl 1327.20053Chekhlov, A. R. 2 2015 On abelian groups with right-invariant isometries. Zbl 1303.20057Chekhlov, A. R. 2 2014 On Abelian groups close to \(E\)-solvable groups. Zbl 1307.20045Chekhlov, A. R. 2 2014 On Abelian groups with commuting monomorphisms. Zbl 1293.20053Chekhlov, A. R. 5 2013 Torsion-free weakly transitive \(E\)-Engel abelian groups. Zbl 1330.20080Chekhlov, A. R. 5 2013 On direct sums of cyclic groups with invariant monomorphisms. Zbl 07607416Chekhlov, A. R. 1 2013 On the projective commutant of Abelian groups. Zbl 1281.20064Chekhlov, A. R. 9 2012 On projectively soluble Abelian groups. Zbl 1271.16006Chekhlov, A. R. 7 2012 Abelian groups with nilpotent commutators of endomorphisms. Zbl 1271.20067Chekhlov, A. R. 7 2012 On some classes of nilgroups. Zbl 1336.20052Chekhlov, A. R. 3 2012 \(E\)-solvable modules. Zbl 1263.16008Chekhlov, A. R. 2 2012 Commutator invariant subgroups of Abelian groups. Zbl 1210.20053Chekhlov, A. R. 11 2010 On projective invariant subgroups of Abelian groups. Zbl 1288.20076Chekhlov, A. R. 9 2010 Abelian groups with normal endomorphism rings. Zbl 1245.20069Chekhlov, A. R. 21 2009 Separable and vector groups whose projectively invariant subgroups are fully invariant. Zbl 1212.20073Chekhlov, A. R. 11 2009 On abelian groups, in which all subgroups are ideals. Zbl 1515.20286Chekhlov, Andreĭ Rostislavovich 1 2009 On L. Fuchs’ problems 17 and 43. Zbl 1154.20046Chekhlov, A. R.; Krylov, P. A. 7 2007 On weakly quasipure injective groups. Zbl 1139.20051Chekhlov, A. R. 5 2007 On mixed \(cs\)-groups. Zbl 1079.20071Chekhlov, A. R. 2 2005 On quasi-closed mixed groups. Zbl 1026.20035Chekhlov, A. R. 4 2002 On a class of endotransitive groups. Zbl 1016.20037Chekhlov, A. R. 21 2001 On decomposable fully transitive torsion-free groups. Zbl 1003.20048Chekhlov, A. R. 15 2001 Totally transitive torsion-free groups of finite \(p\)-rank. Zbl 1017.20046Chekhlov, A. R. 11 2001 Torsion-free Abelian groups with large number of endomorphisms. Zbl 1121.20311Krylov, P. A.; Chekhlov, A. R. 8 2001 Quasipure injective torsion-free groups with indecomposable pure subgroups. Zbl 1009.20064Chekhlov, A. R. 4 2000 Torsion-free Abelian groups close to algebraically compact ones. Zbl 0859.20045Bekker, I. Kh.; Krylov, P. A.; Chekhlov, A. R. 7 1994 On Abelian torsion-free QCS-groups. Zbl 0858.20042Chekhlov, A. R. 3 1994 Direct products and direct sums of torsion-free Abelian QCPI-groups. Zbl 0738.20054Chekhlov, A. R. 8 1990 Abelian torsion-free CS-groups. Zbl 0714.20040Chekhlov, A. R. 7 1990 Indecomposable torsion-free Abelian QCPI groups of \(p\)-rank \(\geq 2^{\aleph_ 0}\). Zbl 0820.20064Chekhlov, A. R. 2 1990 Quasipure-injective torsion-free Abelian groups. Zbl 0692.20043Chekhlov, A. R. 5 1989 Quasipure injective torsion-free Abelian groups. Zbl 0697.20044Chekhlov, A. R. 3 1989 Cohesive quasipure-injective Abelian groups. Zbl 0694.20034Chekhlov, A. R. 2 1989 Cohesive quasipure-injective Abelian groups. Zbl 0702.20038Chekhlov, A. R. 2 1989 Abelian CS-groups without torsion. Zbl 0714.20041Chekhlov, A. R. 6 1988 On some classes of torsion-free Abelian groups close to quasi-pure- injective ones. Zbl 0588.20031Chekhlov, A. R. 6 1985 Intersection of direct summands of Abelian p-groups. Zbl 0533.20024Chekhlov, A. R. 2 1981 all cited Publications top 5 cited Publications all top 5 Cited by 26 Authors 52 Chekhlov, Andreĭ Rostislavovich 13 Danchev, Peter Vassilev 8 Krylov, Pëtr Andreevich 6 Keef, Patrick W. 5 Tuganbaev, Askar Akanovich 4 Calugareanu, Grigore Dumitru jun. 4 Goldsmith, Brendan 4 Misyakov, Victor Mikhajlovich 3 Grinshpon, Samuil Yakovlevich 2 Breaz, Simion 2 Dardano, Ulderico 2 Dikranjan, Dikran N. 2 Mishina, Anna Petrovna 2 Rogozinsky, Mikhail Ivanovich 2 Salce, Luigi 1 Agafontseva, Mladena Vladimirovna 1 Chedushev, Sergei Mikhailovich 1 Fomin, Aleksandr Aleksandrovich 1 Grinshpon, Irina Eduardovna 1 Ivanets, Olesya V. 1 Kaigorodov, Evgeny Vladimirovich 1 Mikhalëv, Aleksandr Vasil’evich 1 Prikhodovskiĭ, Mikhail Anatol’evich 1 Rinauro, Silvana 1 Sorokin, Konstantin Sergeevich 1 Woronowicz, Mateusz all top 5 Cited in 24 Serials 17 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 16 Journal of Mathematical Sciences (New York) 9 Mathematical Notes 8 Siberian Mathematical Journal 4 Journal of Group Theory 3 Communications in Algebra 3 Forum Mathematicum 3 Russian Mathematics 2 Mediterranean Journal of Mathematics 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Journal of Pure and Applied 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 Annales Mathematicae Silesianae 1 Hacettepe Journal of Mathematics and Statistics 1 International Electronic Journal of Algebra (IEJA) 1 Journal of Commutative Algebra 1 International Journal of Group Theory 1 Topological Algebra and its Applications all top 5 Cited in 9 Fields 77 Group theory and generalizations (20-XX) 22 Associative rings and algebras (16-XX) 11 Topological groups, Lie groups (22-XX) 5 Commutative algebra (13-XX) 2 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