Guelman, Nancy; Martínez, Matilde Abelian groups acting on the line. (English) Zbl 07961113 Expo. Math. 42, No. 6, Article ID 125619, 20 p. (2024). MSC: 37E99 57S25 37C85 20K15 × Cite Format Result Cite Review PDF Full Text: DOI
Koşan, M. Tamer; Žemlička, Jan ADS abelian groups. (English) Zbl 07916057 J. Algebra Appl. 23, No. 11, Article ID 2450182, 8 p. (2024). Reviewer: Nikolay I. Kryuchkov (Ryazan) MSC: 20K25 20K21 20K27 20K20 × Cite Format Result Cite Review PDF Full Text: DOI
Epitropov, Yordan; Gradeva, Ivanka; Mollov, Todor Zh. Unit groups of commutative modular group algebras. (English) Zbl 07910540 J. Algebra Appl. 23, No. 9, Article ID 2450146, 34 p. (2024). Reviewer: Anatolii Tushev (Dnipro) MSC: 20C07 20C05 16S34 16U60 20K10 20K20 20K21 20K25 × Cite Format Result Cite Review PDF Full Text: DOI
Ferrer, María V.; Hernández-Arzusa, Julio; Hernández, Salvador Tensor products of topological abelian groups and Pontryagin duality. (English) Zbl 1540.22002 J. Math. Anal. Appl. 536, No. 2, Article ID 128199, 20 p. (2024). Reviewer: Saak S. Gabriyelyan (Beer-Sheva) MSC: 22A05 20K20 22A25 22B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andruszkiewicz, Ryszard R. The classification of non-commutative torsion-free rings of rank two. (English) Zbl 1540.20107 J. Algebra Appl. 23, No. 6, Article ID 2450121, 5 p. (2024). Reviewer: Valeriu Popa (Chişinău) MSC: 20K15 16D99 × Cite Format Result Cite Review PDF Full Text: DOI
Dobbs, David E. On the possible inequalities involving the mean, the median and the mode in a divisible ordered abelian group. (English) Zbl 1549.06022 Moroccan J. Algebra Geom. Appl. 2, No. 1, 1-13 (2023). MSC: 06F20 20K99 × Cite Format Result Cite Review PDF Full Text: Link
Timoshenko, Egor Aleksandrovich; Tret’yakov, Ivan Vladislavovich Involutions of the automorphism group of a completely decomposable finite-rank abelian group. (Russian. English summary) Zbl 1542.20247 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2023, No. 86, 167-175 (2023). Reviewer: Mikhail Volkov (Ekaterinburg) MSC: 20K15 20K30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Blagoveshchenskaya, E. A.; Strüngmann, L. Algorithms in direct decompositions of torsion-free abelian groups. (English. Russian original) Zbl 1535.20279 J. Math. Sci., New York 275, No. 5, 541-547 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 176, 19-25 (2020). Reviewer: Alireza Najafizadeh (Tabriz) MSC: 20K15 × Cite Format Result Cite Review PDF Full Text: DOI
Vermani, L. R. Some remarks on Schur multiplicator of a group being torsion-free. (English) Zbl 1530.20175 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 42, 18 p. (2023). MSC: 20J06 × Cite Format Result Cite Review PDF Full Text: DOI
Munro, Zachary A note on abelian cubulated groups. (English) Zbl 1528.20074 Bull. Lond. Math. Soc. 55, No. 5, 2277-2282 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20F65 20K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pushkova, T. A.; Sebel’din, A. M. On the question of the definability of certain classes of completely decomposable abelian torsion-free groups by their homomorphism groups. (English. Russian original) Zbl 1520.20108 Math. Notes 113, No. 5, 700-703 (2023); translation from Mat. Zametki 113, No. 5, 738-741 (2023). Reviewer: Alireza Najafizadeh (Tabriz) MSC: 20K20 × Cite Format Result Cite Review PDF Full Text: DOI
Kompantseva, E. I.; Tuganbaev, A. A. Multiplication groups of abelian torsion-free groups of finite rank. (English) Zbl 1521.20117 Mediterr. J. Math. 20, No. 4, Paper No. 188, 16 p. (2023). Reviewer: Phillip Schultz (Perth) MSC: 20K15 20K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ha, Ku Yong; Lee, Jong Bum Rank-two solenoidal endomorphisms. (English) Zbl 1520.37027 Topol. Methods Nonlinear Anal. 61, No. 1, 291-329 (2023). MSC: 37C85 37C25 55M20 × Cite Format Result Cite Review PDF Full Text: DOI
Blagoveshchenskaya, E. A.; Mikhalev, A. V. Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules. (English. Russian original) Zbl 1543.20065 J. Math. Sci., New York 269, No. 5, 632-696 (2023); translation from Fundam. Prikl. Mat. 24, No. 1, 31-123 (2022). Reviewer: Ross P. Abraham (Brookings) MSC: 20K30 20K15 20K20 16S50 16D10 × Cite Format Result Cite Review PDF Full Text: DOI
Maloney, Gregory R. Simple dimension groups that are isomorphic to stationary inductive limits. (English) Zbl 07641749 Trans. Am. Math. Soc. 376, No. 2, 1231-1261 (2023). MSC: 06F20 20K15 19K14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gotti, Felix Hereditary atomicity and ACCP in abelian groups. arXiv:2303.01039 Preprint, arXiv:2303.01039 [math.AC] (2023). MSC: 20K15 16S34 20C07 06F20 20M25 13A05 × Cite Format Result Cite Full Text: arXiv OA License
Chekhlov, A. R.; Danchev, P. V.; Goldsmith, B. On the generalized Bassian property for abelian groups. (English) Zbl 1524.20044 Acta Math. Hung. 168, No. 1, 186-201 (2022). Reviewer: Todor Mollov (Plovdiv) MSC: 20K10 20K20 20K21 × Cite Format Result Cite Review PDF Full Text: DOI
Artemov, D. Yu. Retractable and coretractable abelian groups. (English. Russian original) Zbl 1509.20063 Russ. Math. 66, No. 1, 1-7 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 1, 3-11 (2022). Reviewer: Nikolay I. Kryuchkov (Ryazan) MSC: 20K27 20K30 20K20 × Cite Format Result Cite Review PDF Full Text: DOI
Cornelius, E. F. jun. 1-separable torsion free modules over integral domains. (English) Zbl 1513.13024 JP J. Algebra Number Theory Appl. 59, 1-16 (2022). MSC: 13C05 13G05 20K15 20K20 × Cite Format Result Cite Review PDF Full Text: DOI
Andruszkiewicz, Ryszard R.; Woronowicz, Mateusz The classification of torsion-free \(TI\)-groups. (English) Zbl 1523.20094 Algebra Colloq. 29, No. 4, 595-606 (2022). MSC: 20K15 20K20 16D25 20K21 13A15 × Cite Format Result Cite Review PDF Full Text: DOI
Dvořák, Josef; Žemlička, Jan Self-small products of abelian groups. (English) Zbl 07613027 Commentat. Math. Univ. Carol. 63, No. 2, 145-157 (2022). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 20K40 20K20 20K21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kompantseva, E. I.; Tuganbaev, A. A. Absolute ideals of Murley groups. (English) Zbl 1520.20110 Beitr. Algebra Geom. 63, No. 4, 853-866 (2022). Reviewer: Phillip Schultz (Perth) MSC: 20K30 20K15 16U30 × Cite Format Result Cite Review PDF Full Text: DOI
Kompantseva, E. I.; Tuganbaev, A. A. Rings on abelian torsion-free groups of finite rank. (English) Zbl 1500.20006 Beitr. Algebra Geom. 63, No. 2, 267-285 (2022). Reviewer: Phillip Schultz (Perth) MSC: 20K15 20K30 20K99 16B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andruszkiewicz, Ryszard R.; Woronowicz, Mateusz A simple solution of Stratton and Webb’s problem. (English) Zbl 1514.20203 Commun. Algebra 50, No. 7, 3113-3123 (2022). Reviewer: Alireza Najafizadeh (Tabriz) MSC: 20K27 20K15 16S99 × Cite Format Result Cite Review PDF Full Text: DOI
Fomin, Aleksandr Aleksandrovich; Tsarev, Andreĭ Valer’evich Abelian groups with finite primary quotients. (Russian. English summary) Zbl 1511.20206 Chebyshevskiĭ Sb. 22, No. 5(81), 400-406 (2021). MSC: 20K27 20K35 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Lewis, Wayne; Mader, Adolf Compact connected abelian groups of dimension 1. (English) Zbl 1500.22003 Rend. Semin. Mat. Univ. Padova 146, 163-176 (2021). Reviewer: Lydia Außenhofer (Passau) MSC: 22C05 20K15 × Cite Format Result Cite Review PDF Full Text: DOI
Chekhlov, Andrey R.; Danchev, Peter V.; Goldsmith, Brendan On the Bassian property for abelian groups. (English) Zbl 1497.20058 Arch. Math. 117, No. 6, 593-600 (2021). Reviewer: Radoslav M. Dimitrić (New York) MSC: 20K10 20K20 20K21 13E15 × Cite Format Result Cite Review PDF Full Text: DOI
Chekhlov, A. R. On weakly transitive torsion-free abelian groups. (English. Russian original) Zbl 1523.20095 J. Math. Sci., New York 259, No. 4, 515-517 (2021); translation from Fundam. Prikl. Mat. 22, No. 5, 191-194 (2019). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 20K15 20K30 × Cite Format Result Cite Review PDF Full Text: DOI
Călugăreanu, Grigore; Chekhlov, Andrey Abelian groups with left comorphic endomorphism rings. (English) Zbl 1482.20028 Int. Electron. J. Algebra 30, 217-230 (2021). MSC: 20K30 20K10 20K15 16U99 × Cite Format Result Cite Review PDF Full Text: DOI
Călugăreanu, Grigore; Chekhlov, Andrey R. Solitary subgroups of abelian groups. (English) Zbl 1484.20091 Expo. Math. 39, No. 3, 354-368 (2021). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 20K27 20K10 20K15 20K21 × Cite Format Result Cite Review PDF Full Text: DOI
Kompantseva, Ekaterina Igorevna; Nguyen Thi Quynh Trang; Gazaryan, Varvara Aramovna Filial rings on direct sums and direct products of torsion-free abelian groups. (Russian. English summary) Zbl 1515.20283 Chebyshevskiĭ Sb. 22, No. 1(77), 200-212 (2021). MSC: 20K15 20K25 × Cite Format Result Cite Review PDF Full Text: MNR
Zonov, M. N.; Timoshenko, E. A. Quotient divisible groups of rank 2. (English. Russian original) Zbl 1542.20248 Math. Notes 110, No. 1, 48-60 (2021); translation from Mat. Zametki 110, No. 1, 37-51 (2021). MSC: 20K15 × Cite Format Result Cite Review PDF Full Text: DOI
Lewis, Wayne; Loth, Peter; Mader, Adolf The main decomposition of finite-dimensional protori. (English) Zbl 1473.20057 J. Group Theory 24, No. 1, 109-127 (2021). Reviewer: Alireza Najafizadeh (Tabriz) MSC: 20K15 20K25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vil’danov, V. K.; Gaĭdak, V. A.; Timoshenko, E. A. On determinability of a completely decomposable rank 2 group by its automorphism group. (Russian. English summary) Zbl 1531.20064 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2020, No. 68, 23-32 (2020). MSC: 20K15 20K30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Chekhlov, A. R.; Ivanets, O. V. On projectively inert subgroups of completely decomposable finite rank groups. (Russian. English summary) Zbl 1529.20092 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2020, No. 67, 63-68 (2020). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 20K15 20K27 20K30 20K25 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Nguyen, T. K. T. Abelian SACR-groups. (Russian. English summary) Zbl 1537.20134 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2020, No. 63, 27-36 (2020). MSC: 20K15 20K21 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Srivasta, B. L.; Pathan, M. A.; Kumar, Hemant An abelian group of a class of Mittag-Leffler functions. (English) Zbl 1499.33082 Rom. J. Math. Comput. Sci. 10, No. 1, 67-72 (2020). MSC: 33E12 × Cite Format Result Cite Review PDF
Schultz, Phill Torsion-free abelian groups revisited. (English) Zbl 1477.20101 Rend. Semin. Mat. Univ. Padova 144, 239-252 (2020). Reviewer: Nikolay I. Kryuchkov (Ryazan) MSC: 20K15 20K25 20K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lewis, Wayne; Loth, Peter; Mader, Adolf Free subgroups with torsion quotients and profinite subgroups with torus quotients. (English) Zbl 1504.22005 Rend. Semin. Mat. Univ. Padova 144, 177-195 (2020). Reviewer: Nikolay I. Kryuchkov (Ryazan) MSC: 22C05 20K15 22B05 × Cite Format Result Cite Review PDF Full Text: DOI
Fomin, Alexander A. A matrix description for torsion free abelian groups of finite rank. (English) Zbl 1509.20062 Rend. Semin. Mat. Univ. Padova 144, 115-128 (2020). Reviewer: Alireza Najafizadeh (Tabriz) MSC: 20K15 × Cite Format Result Cite Review PDF Full Text: DOI
Woronowicz, Mateusz A note on Feigelstock’s conjecture on the equivalence of the notions of nil and associative nil groups in the context of additive groups of rings of finite rank. (English) Zbl 1472.20121 Bull. Belg. Math. Soc. - Simon Stevin 27, No. 4, 509-519 (2020). Reviewer: Peter Danchev (Sofia) MSC: 20K15 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Dahmani, François; Fujiwara, Koji; Guirardel, Vincent Solvable groups of interval exchange transformations. (English. French summary) Zbl 1458.37054 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 3, 595-618 (2020). Reviewer: Alireza Najafizadeh (Tabriz) MSC: 37E05 37C85 20K15 20E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costa, S.; Pellegrini, M. A. Some new results about a conjecture by Brian Alspach. (English) Zbl 1530.20066 Arch. Math. 115, No. 5, 479-488 (2020). MSC: 20D60 05C25 20K01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pushkova, T. A.; Sebel’din, A. M. On the question of definability of homogeneously decomposable torsion-free abelian groups by their homomorphism groups and endomorphism rings. (English. Russian original) Zbl 1476.20056 Math. Notes 108, No. 1, 117-122 (2020); translation from Mat. Zametki 108, No. 1, 130-136 (2020). Reviewer: Radoslav M. Dimitrić (New York) MSC: 20K30 20K15 20K20 20K25 × Cite Format Result Cite Review PDF Full Text: DOI
Kolenova, E. M.; Pushkova, T. A. Abelian RE-groups. (English. Russian original) Zbl 1484.20094 Math. Notes 107, No. 4, 595-599 (2020); translation from Mat. Zametki 107, No. 4, 533-538 (2020). MSC: 20K30 20K15 × Cite Format Result Cite Review PDF Full Text: DOI
Ara, Pere; Bosa, Joan; Pardo, Enrique The realization problem for finitely generated refinement monoids. (English) Zbl 1481.16004 Sel. Math., New Ser. 26, No. 3, Paper No. 33, 63 p. (2020). Reviewer: Udhayakumar Ramalingam (Vellore) MSC: 16D70 16E50 06F20 19K14 20K20 46L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Łukasik, Radosław; Wójcik, Paweł Functions preserving the biadditivity. (English) Zbl 1442.39032 Result. Math. 75, No. 3, Paper No. 82, 17 p. (2020). Reviewer: Maryam Amyari (Mashhad) MSC: 39B55 39B52 20M15 20K25 20K30 × Cite Format Result Cite Review PDF Full Text: DOI
Albrecht, U.; Goeters, P.; Huang, H. The rank of abelian groups with commutative endomorphism ring. (English) Zbl 1436.16031 Commun. Algebra 48, No. 2, 564-572 (2020). Reviewer: Hu Jun (Beijing) MSC: 16S50 20K15 × Cite Format Result Cite Review PDF Full Text: DOI
Bazhenov, Nikolay; Goncharov, Sergey; Melnikov, Alexander Decompositions of decidable abelian groups. (English) Zbl 1516.03012 Int. J. Algebra Comput. 30, No. 1, 49-90 (2020). MSC: 03C57 03D45 20K10 20K15 × Cite Format Result Cite Review PDF Full Text: DOI
Lewis, Wayne Structure of finite-dimensional protori. (English) Zbl 1434.22002 Axioms 8, No. 3, Paper No. 93, 16 p. (2019). MSC: 22C05 20K15 22B05 22D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cocke, William; Jensen, Sara The sequence of non \(k\)-th powers of a finite group \(G\). (English) Zbl 1468.20050 Commun. Algebra 47, No. 4, 1835-1840 (2019). MSC: 20D60 20D20 20D15 20K20 × Cite Format Result Cite Review PDF Full Text: DOI
Hemelaer, Jens An arithmetic topos for integer matrices. (English) Zbl 1454.11076 J. Number Theory 204, 155-184 (2019). MSC: 11F23 11G99 11M55 14A20 18B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goldsmith, Brendan; Karimi, Fatemeh; White, Noel On the Reidemeister spectrum of an abelian group. (English) Zbl 1459.20042 Forum Math. 31, No. 1, 199-214 (2019). Reviewer: Ross P. Abraham (Brookings) MSC: 20K25 20K10 20K15 20K30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Friedenberg, Stefan; Wolf, Paul A brief journey through extensions of rational groups. (English) Zbl 1472.20120 Rend. Semin. Mat. Univ. Padova 140, 123-128 (2018). MSC: 20K15 20K35 × Cite Format Result Cite Review PDF Full Text: DOI
Călugăreanu, Grigore Abelian groups with left morphic endomorphism ring. (English) Zbl 1398.20064 J. Algebra Appl. 17, No. 9, Article ID 1850176, 8 p. (2018). MSC: 20K30 20K10 20K15 20K21 16U60 16S50 × Cite Format Result Cite Review PDF Full Text: DOI
Außenhofer, Lydia On quasi-convex null sequences in infinite cyclic groups. (English) Zbl 1397.22001 Forum Math. 30, No. 4, 867-876 (2018). Reviewer: Mihail I. Ursul (Oradea) MSC: 22A05 43A40 20K15 20K45 46A03 × Cite Format Result Cite Review PDF Full Text: DOI
Ho, Meng-Che The word problem of \(\mathbb{Z}^n\) is a multiple context-free language. (English) Zbl 1394.68213 Groups Complex. Cryptol. 10, No. 1, 9-15 (2018). MSC: 68Q45 20F10 20K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mader, Adolf; Schultz, Phill Indecomposable decompositions of torsion-free abelian groups. (English) Zbl 1435.20061 J. Algebra 506, 267-296 (2018). Reviewer: Ross P. Abraham (Brookings) MSC: 20K15 20K25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Del Corso, Ilaria; Dvornicich, Roberto On Fuchs’ problem about the group of units of a ring. (English) Zbl 1428.16036 Bull. Lond. Math. Soc. 50, No. 2, 274-292 (2018). Reviewer: Todor Mollov (Plovdiv) MSC: 16U60 13A05 20K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mader, Adolf; Schultz, Phill Completely decomposable direct summands of torsion-free abelian groups of finite rank. (English) Zbl 1435.20060 Proc. Am. Math. Soc. 146, No. 1, 93-96 (2018). Reviewer: Ross P. Abraham (Brookings) MSC: 20K15 20K25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Solak, Ebru The class of \((2, 3)\)-groups with homocyclic regulator quotient of exponent \(p^2\). (English) Zbl 1436.20100 Droste, Manfred (ed.) et al., Groups, modules, and model theory – surveys and recent developments. In Memory of Rüdiger Göbel. Proceedings of the conference on new pathways between group theory and model theory, Mülheim an der Ruhr, Germany, February 1–4, 2016. Cham: Springer. 435-447 (2017). MSC: 20K15 20K25 20K35 16G60 × Cite Format Result Cite Review PDF Full Text: DOI
Braun, Gábor; Strüngmann, Lutz Rigid \(\aleph_1\)-free abelian groups with prescribed factors and their role in the theory of cellular covers. (English) Zbl 1436.20101 Droste, Manfred (ed.) et al., Groups, modules, and model theory – surveys and recent developments. In Memory of Rüdiger Göbel. Proceedings of the conference on new pathways between group theory and model theory, Mülheim an der Ruhr, Germany, February 1–4, 2016. Cham: Springer. 69-81 (2017). MSC: 20K20 20K30 16S50 16W20 × Cite Format Result Cite Review PDF Full Text: DOI
Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru A Remak-Krull-Schmidt class of torsion-free abelian groups. (English) Zbl 1436.20098 Droste, Manfred (ed.) et al., Groups, modules, and model theory – surveys and recent developments. In Memory of Rüdiger Göbel. Proceedings of the conference on new pathways between group theory and model theory, Mülheim an der Ruhr, Germany, February 1–4, 2016. Cham: Springer. 41-68 (2017). MSC: 20K15 20K25 20K35 16G60 × Cite Format Result Cite Review PDF Full Text: DOI
Abu Zaid, Faried; Grädel, Erich; Reinhardt, Frederic Advice automatic structures and uniformly automatic classes. (English) Zbl 1434.03099 Goranko, Valentin (ed.) et al., 26th EACSL annual conference on computer science logic, CSL 2017, Stockholm, Sweden, August 20–24, 2017. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 82, Article 35, 20 p. (2017). MSC: 03D05 03C57 03C60 20F10 20K15 × Cite Format Result Cite Review PDF Full Text: DOI
Cherednikova, A. V. On quasi-endomorphism rings of some strongly indecomposable torsion-free abelian groups of rank 4. (Russian. English summary) Zbl 1434.20036 Chebyshevskiĭ Sb. 18, No. 2(62), 245-255 (2017). MSC: 20K15 16S50 20K30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru The class of \((1,3)\)-groups with a homocyclic regulator quotient of exponent \(p^5\) is of finite representation type. (English) Zbl 1425.20027 Bull. Hell. Math. Soc. 61, 55-72 (2017). MSC: 20K15 20K25 20K35 15A21 16G60 × Cite Format Result Cite Review PDF Full Text: Link
Goldsmith, Brendan Generalised Hopficity and products of the integers. (English) Zbl 1402.20063 Ir. Math. Soc. Bull. 80, 21-33 (2017). MSC: 20K30 20K20 20K25 × Cite Format Result Cite Review PDF
Chekhlov, Andrey; Danchev, Peter A generalization of Hopfian abelian groups. (English) Zbl 1399.20054 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 60, 93-108 (2017). Reviewer: Todor Mollov (Plovdiv) MSC: 20K10 20K20 20K21 20K30 × Cite Format Result Cite Review PDF
Cherednikova, A. V. Rings of quasi-endomorphisms of some direct sums of torsion-free abelian groups. (English. Russian original) Zbl 1384.20043 Russ. Math. 61, No. 1, 53-68 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 1, 60-76 (2017). MSC: 20K30 20K15 16S50 × Cite Format Result Cite Review PDF Full Text: DOI
Lyubimtsev, O. V. Characterization of completely decomposable quotient divisible abelian groups by their endomorphism semigroups. (English. Russian original) Zbl 1379.20012 Russ. Math. 61, No. 10, 65-71 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 10, 75-82 (2017). MSC: 20K30 20K20 20M20 16S50 × Cite Format Result Cite Review PDF Full Text: DOI
Chekhlov, A. R. On strongly invariant subgroups of abelian groups. (English. Russian original) Zbl 1380.20055 Math. Notes 102, No. 1, 105-110 (2017); translation from Mat. Zametki 102, No. 1, 125-132 (2017). MSC: 20K27 20K15 × Cite Format Result Cite Review PDF Full Text: DOI
Albrecht, Ulrich A note on the rank of \(B\mathrm{ext}_A^1(G,A)\). (English) Zbl 1403.20062 Rocky Mt. J. Math. 47, No. 5, 1405-1413 (2017). Reviewer: Ross P. Abraham (Brookings) MSC: 20K20 20K35 20K40 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Dorantes-Aldama, Alejandro; Shakhmatov, Dmitri Selectively sequentially pseudocompact group topologies on torsion and torsion-free abelian groups. (English) Zbl 1373.22004 Topology Appl. 230, 562-577 (2017). MSC: 22A10 22C05 54A20 54D30 54H11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pushkova, T. A.; Sebel’din, A. M. On the definability of completely decomposable torsion-free abelian groups by endomorphism rings and some groups of homomorphisms. (English. Russian original) Zbl 1371.20054 Math. Notes 101, No. 4, 688-692 (2017); translation from Mat. Zametki 101, No. 4, 576-581 (2017). MSC: 20K30 20K15 16S50 × Cite Format Result Cite Review PDF Full Text: DOI
Maloney, Gregory R. The ultrasimplicial property for simple dimension groups with unique state, the image of which has rank one. (English) Zbl 1429.06027 Houston J. Math. 43, No. 1, 39-60 (2017). MSC: 06F20 20K15 20K40 × Cite Format Result Cite Review PDF Full Text: arXiv
Chekhlov, A. R. On fully inert subgroups of completely decomposable groups. (English. Russian original) Zbl 1387.20045 Math. Notes 101, No. 2, 365-373 (2017); translation from Mat. Zametki 101, No. 2, 302-312 (2017). MSC: 20K27 20K30 20K15 20K20 20K25 × Cite Format Result Cite Review PDF Full Text: DOI
Ara, Pere; Pardo, Enrique Representing finitely generated refinement monoids as graph monoids. (English) Zbl 1380.06015 J. Algebra 480, 79-123 (2017). Reviewer: Daniele Mundici (Firenze) MSC: 06F20 06F05 16D70 19K14 20K20 46L05 46L55 20M14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kolman, Oren; Wald, Burkhard \(M\)-slenderness. (English) Zbl 1428.20053 Isr. J. Math. 217, 303-312 (2017). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 20K20 20K27 × Cite Format Result Cite Review PDF Full Text: DOI
Toborg, Imke A composite functional equation on groups. (English) Zbl 1375.20058 Aequationes Math. 91, No. 2, 289-299 (2017). Reviewer: Phillip Schultz (Perth) MSC: 20K10 20K15 39B12 39B52 20D45 20E36 20F70 × Cite Format Result Cite Review PDF Full Text: DOI
Khisamiev, Nazif G.; Latkin, Ivan V. On constructive nilpotent groups. (English) Zbl 1485.03114 Day, Adam (ed.) et al., Computability and complexity. Essays dedicated to Rodney G. Downey on the occasion of his 60th birthday. Cham: Springer. Lect. Notes Comput. Sci. 10010, 324-353 (2017). MSC: 03C57 03D45 20F18 20F10 20K15 20K25 × Cite Format Result Cite Review PDF Full Text: DOI
Cherednikova, A. V. Quasiendomorphism algebras of some quasidecomposable rank 4 torsion-free abelian groups. (English. Russian original) Zbl 1393.20025 Sib. Math. J. 57, No. 6, 1088-1099 (2016); translation from Sib. Mat. Zh. 57, No. 6, 1389-1402 (2016). MSC: 20K30 20K15 16S50 × Cite Format Result Cite Review PDF Full Text: DOI
Chekhlov, A. R. On fully quasitransitive abelian groups. (English. Russian original) Zbl 1359.20033 Sib. Math. J. 57, No. 5, 929-934 (2016); translation from Sib. Mat. Zh. 57, No. 5, 1184-1192 (2016). MSC: 20K30 20K20 20K27 20K25 16S50 × Cite Format Result Cite Review PDF Full Text: DOI
Arnold, David; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru Representations of finite posets over the ring of integers modulo a prime power. (English) Zbl 1373.16032 J. Commut. Algebra 8, No. 4, 461-491 (2016). MSC: 16G20 16G60 20K15 20K25 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Albrecht, Ulrich Cellular covers of mixed abelian groups. (English) Zbl 1365.20053 Result. Math. 70, No. 3-4, 533-537 (2016). MSC: 20K21 20K15 20K30 16W20 16S60 55P60 × Cite Format Result Cite Review PDF Full Text: DOI
Braun, Gábor; Strüngmann, Lutz Examples of non-dual subgroups of the Baer-Specker group. (English) Zbl 1373.20068 Houston J. Math. 42, No. 3, 723-739 (2016). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 20K30 20K20 03E35 03E50 20A15 × Cite Format Result Cite Review PDF
Breaz, Simion A Banach contraction principle for abelian groups. (English) Zbl 1369.20048 Fixed Point Theory 17, No. 2, 289-294 (2016). MSC: 20K15 47H10 × Cite Format Result Cite Review PDF Full Text: Link
Solak, Ebru Classification of a class of torsion-free abelian groups. (English) Zbl 1351.20032 Rend. Semin. Mat. Univ. Padova 135, 111-131 (2016). Reviewer: Phillip Schultz (Perth) MSC: 20K15 20K25 20K35 15A21 16G60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ferraz, Raul Antonio; Marcuz, Renata Units of \(\mathbb Z(C_p\times C_2)\) and \(\mathbb Z(C_p\times C_2\times C_2)\). (English) Zbl 1346.16032 Commun. Algebra 44, No. 2, 851-872 (2016). Reviewer: János Kurdics (Nyíregyháza) MSC: 16U60 20C05 16S34 11R27 × Cite Format Result Cite Review PDF Full Text: DOI
Kompantseva, E. I. Associative rings on vector groups. (Russian. English summary) Zbl 1441.16034 Chebyshevskiĭ Sb. 16, No. 4(56), 188-199 (2015). MSC: 16S99 20K15 × Cite Format Result Cite Review PDF Full Text: MNR
Albrecht, Ulrich \(\aleph_1\)-\(A\)-coseperable groups. (English) Zbl 1389.20063 Stud. Univ. Babeș-Bolyai, Math. 60, No. 4, 493-507 (2015). MSC: 20K20 20K40 03E75 03E50 20F10 20F05 × Cite Format Result Cite Review PDF
Hrbek, Michal; Ružička, Pavel Characterization of abelian groups with a minimal generating set. (English) Zbl 1425.20028 Quaest. Math. 38, No. 1, 103-120 (2015). MSC: 20K21 20K10 × Cite Format Result Cite Review PDF Full Text: DOI
Tomita, Artur Hideyuki A group topology on the free abelian group of cardinality \(\mathfrak{c}\) that makes its finite powers countably compact. (English) Zbl 1334.54054 Topology Appl. 196, Part B, 976-998 (2015). Reviewer: Paolo Lipparini (Roma) MSC: 54H11 54B10 54D20 03E05 20K20 × Cite Format Result Cite Review PDF Full Text: DOI
Rodríguez, José L.; Strüngmann, Lutz Cellular covers of \(\aleph_{1}\)-free abelian groups. (English) Zbl 1375.20059 J. Algebra Appl. 14, No. 10, Article ID 1550139, 10 p. (2015). MSC: 20K20 20K30 55P60 16W20 16S60 × Cite Format Result Cite Review PDF Full Text: DOI
Riggs, Kyle The decomposability problem for torsion-free abelian groups is analytic-complete. (English) Zbl 1347.03083 Proc. Am. Math. Soc. 143, No. 8, 3631-3640 (2015). Reviewer: Andrei S. Morozov (Novosibirsk) MSC: 03D45 03C57 20K15 20K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vershina, S. V. On the Baer-Kaplansky theorem for torsion free groups with quadratic splitting fields. (Russian. English summary) Zbl 1433.20014 Chebyshevskiĭ Sb. 15, No. 1(49), 77-88 (2014). MSC: 20K15 × Cite Format Result Cite Review PDF Full Text: MNR
Tushev, A. V. On certain methods of studying ideals in group rings of abelian groups of finite rank. (English) Zbl 1320.16014 Asian-Eur. J. Math. 7, No. 4, Article ID 1450065, 7 p. (2014). Reviewer: S. V. Mihovski (Plovdiv) MSC: 16S34 20C07 11R27 16D25 20K15 × Cite Format Result Cite Review PDF Full Text: DOI
Kaĭgorodov, E. V. Hopfian completely decomposable torsion-free groups. (Russian. English summary) Zbl 07607425 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2013, No. 4(24), 24-28 (2013). MSC: 20-XX 22-XX × Cite Format Result Cite Review PDF Full Text: MNR
Baur, K. Book review of: T. G. Faticoni, Modules over endomorphism rings. (English) Zbl 1335.00010 Int. Math. Nachr., Wien 222, 58 (2013). MSC: 00A17 16-02 16D70 20-02 20K30 20K15 20K25 13C05 16S50 13D15 20K40 16D90 16Exx 18Gxx × Cite Format Result Cite Review PDF
Ardizzoni, Alessandro; Bulacu, Daniel; Menini, Claudia Quasi-bialgebra structures and torsion-free Abelian groups. (English) Zbl 1307.16029 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 56(104), No. 3, 247-265 (2013). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16T10 18D10 16S34 × Cite Format Result Cite Review PDF Full Text: arXiv
Kelebek, Ismail Gokhan; Bilgin, Tevfik Computing the rank of \(U(\mathbb ZA)\). (English) Zbl 1287.16032 Int. J. Algebra 7, No. 1-4, 145-156 (2013). MSC: 16U60 20C05 16S34 × Cite Format Result Cite Review PDF Full Text: DOI Link