Khoussainov, B.; Melnikov, A. G. Decomposability and computability. (English. Russian original) Zbl 1515.03165 Algebra Logic 61, No. 2, 153-159 (2022); translation from Algebra Logika 61, No. 2, 220-229 (2022). MSC: 03C57 03D45 20K99 PDFBibTeX XMLCite \textit{B. Khoussainov} and \textit{A. G. Melnikov}, Algebra Logic 61, No. 2, 153--159 (2022; Zbl 1515.03165); translation from Algebra Logika 61, No. 2, 220--229 (2022) Full Text: DOI
Alvir, Rachael; Calvert, Wesley; Goodman, Grant; Harizanov, Valentina; Knight, Julia; Miller, Russell; Morozov, Andrey; Soskova, Alexandra; Weisshaar, Rose Interpreting a field in its Heisenberg group. (English) Zbl 07576904 J. Symb. Log. 87, No. 3, 1215-1230 (2022). MSC: 03C57 03D45 20H20 12L12 PDFBibTeX XMLCite \textit{R. Alvir} et al., J. Symb. Log. 87, No. 3, 1215--1230 (2022; Zbl 07576904) Full Text: DOI arXiv
Harrison-Trainor, Matthew; Ho, Meng-Che “Turbo” Finitely generated groups are universal among finitely generated structures. (English) Zbl 1498.03081 Ann. Pure Appl. Logic 172, No. 1, Article ID 102855, 21 p. (2021). MSC: 03C57 03D45 20F05 20F06 20F10 PDFBibTeX XMLCite \textit{M. Harrison-Trainor} and \textit{M.-C. Ho}, Ann. Pure Appl. Logic 172, No. 1, Article ID 102855, 21 p. (2021; Zbl 1498.03081) Full Text: DOI arXiv
Bilanovic, Iva; Chubb, Jennifer; Roven, Sam Detecting properties from descriptions of groups. (English) Zbl 1481.03043 Arch. Math. Logic 59, No. 3-4, 293-312 (2020). MSC: 03D80 03C57 20F10 06F15 03D40 20F05 PDFBibTeX XMLCite \textit{I. Bilanovic} et al., Arch. Math. Logic 59, No. 3--4, 293--312 (2020; Zbl 1481.03043) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{N. Bazhenov} et al., Int. J. Algebra Comput. 30, No. 1, 49--90 (2020; Zbl 1516.03012) Full Text: DOI
Harrison-Trainor, Matthew; Ho, Meng-Che On optimal Scott sentences of finitely generated algebraic structures. (English) Zbl 1522.03126 Proc. Am. Math. Soc. 146, No. 10, 4473-4485 (2018). MSC: 03C57 03D45 20F05 20F06 20E05 PDFBibTeX XMLCite \textit{M. Harrison-Trainor} and \textit{M.-C. Ho}, Proc. Am. Math. Soc. 146, No. 10, 4473--4485 (2018; Zbl 1522.03126) Full Text: DOI arXiv
Melnikov, Alexander G. Torsion-free abelian groups with optimal Scott families. (English) Zbl 1522.03175 J. Math. Log. 18, No. 1, Article ID 1850002, 47 p. (2018). MSC: 03D45 20K20 PDFBibTeX XMLCite \textit{A. G. Melnikov}, J. Math. Log. 18, No. 1, Article ID 1850002, 47 p. (2018; Zbl 1522.03175) Full Text: DOI
Knight, Julia F.; Saraph, Vikram Scott sentences for certain groups. (English) Zbl 1522.03173 Arch. Math. Logic 57, No. 3-4, 453-472 (2018). MSC: 03D45 03C57 20E34 PDFBibTeX XMLCite \textit{J. F. Knight} and \textit{V. Saraph}, Arch. Math. Logic 57, No. 3--4, 453--472 (2018; Zbl 1522.03173) Full Text: DOI arXiv
Melnikov, Alexander G.; Ng, Keng Meng Computable torsion abelian groups. (English) Zbl 1470.03018 Adv. Math. 325, 864-907 (2018). MSC: 03C57 03C60 03D15 20K10 PDFBibTeX XMLCite \textit{A. G. Melnikov} and \textit{K. M. Ng}, Adv. Math. 325, 864--907 (2018; Zbl 1470.03018) Full Text: DOI
Ho, Meng-Che Describing groups. (English) Zbl 1423.03150 Proc. Am. Math. Soc. 145, No. 5, 2223-2239 (2017). MSC: 03D45 03C57 20F10 20F05 20E34 PDFBibTeX XMLCite \textit{M.-C. Ho}, Proc. Am. Math. Soc. 145, No. 5, 2223--2239 (2017; Zbl 1423.03150) Full Text: DOI arXiv
Downey, Rodney; Melnikov, Alexander G.; Ng, Keng Meng Abelian \(p\)-groups and the halting problem. (English) Zbl 1402.03067 Ann. Pure Appl. Logic 167, No. 11, 1123-1138 (2016). MSC: 03D45 03C57 20K99 PDFBibTeX XMLCite \textit{R. Downey} et al., Ann. Pure Appl. Logic 167, No. 11, 1123--1138 (2016; Zbl 1402.03067) Full Text: DOI
Andrews, U.; Dushenin, D. I.; Hill, C.; Knight, J. F.; Melnikov, Alexander G. Comparing classes of finite sums. (English. Russian original) Zbl 1375.03034 Algebra Logic 54, No. 6, 489-501 (2016); translation from Algebra Logika 54, No. 6, 748-768 (2015). MSC: 03C57 03D45 03D30 20K10 20K25 PDFBibTeX XMLCite \textit{U. Andrews} et al., Algebra Logic 54, No. 6, 489--501 (2016; Zbl 1375.03034); translation from Algebra Logika 54, No. 6, 748--768 (2015) Full Text: DOI
Melnikov, Alexander G. Computable abelian groups. (English) Zbl 1345.03065 Bull. Symb. Log. 20, No. 3, 315-356 (2014). MSC: 03C57 03D45 20K99 PDFBibTeX XMLCite \textit{A. G. Melnikov}, Bull. Symb. Log. 20, No. 3, 315--356 (2014; Zbl 1345.03065) Full Text: DOI
Downey, Rod; Melnikov, Alexander G.; Ng, Keng Meng Iterated effective embeddings of abelian \(p\)-groups. (English) Zbl 1339.03034 Int. J. Algebra Comput. 24, No. 7, 1055-1084 (2014). MSC: 03D50 03D45 03C57 20K10 PDFBibTeX XMLCite \textit{R. Downey} et al., Int. J. Algebra Comput. 24, No. 7, 1055--1084 (2014; Zbl 1339.03034) Full Text: DOI
Dushenin, D. I. Abelian \(p\)-groups and autostability relative to an oracle. (English. Russian original) Zbl 1311.03065 Algebra Logic 52, No. 4, 269-276 (2013); translation from Algebra Logika 52, No. 4, 403-415 (2013). MSC: 03C57 03D45 20K10 PDFBibTeX XMLCite \textit{D. I. Dushenin}, Algebra Logic 52, No. 4, 269--276 (2013; Zbl 1311.03065); translation from Algebra Logika 52, No. 4, 403--415 (2013) Full Text: DOI
Carson, J.; Harizanov, V.; Knight, J.; Lange, K.; McCoy, C.; Morozov, A.; Quinn, S.; Safranski, C.; Wallbaum, J. Describing free groups. (English) Zbl 1302.03045 Trans. Am. Math. Soc. 364, No. 11, 5715-5728 (2012). Reviewer: Valery Plisko (Moskva) MSC: 03C57 03C75 03D15 20K20 20E05 PDFBibTeX XMLCite \textit{J. Carson} et al., Trans. Am. Math. Soc. 364, No. 11, 5715--5728 (2012; Zbl 1302.03045) Full Text: DOI
Downey, Rod; Montalbán, Antonio The isomorphism problem for torsion-free abelian groups is analytic complete. (English) Zbl 1156.03042 J. Algebra 320, No. 6, 2291-2300 (2008). Reviewer: Cristian S. Calude (Auckland) MSC: 03D40 03D15 20K15 20K20 68Q17 PDFBibTeX XMLCite \textit{R. Downey} and \textit{A. Montalbán}, J. Algebra 320, No. 6, 2291--2300 (2008; Zbl 1156.03042) Full Text: DOI