List of Publications


Currently in preparation

1) L. Strüngmann: “A partial solution to a problem by A.L.S. Corner”, in preparation.

2) S. Shelah and L. Strüngmann: “Squares of weakly transitive groups”, in preparation.

3) J. Rodriguez and L. Strüngmann: "More on cellular covers of torsion-free groups of finite rank", in preparation.

4) E. Fimmel and L. Strüngmann: „On circular codes“, preprint

5) E. Fimmel, M. Gumbel and L. Strüngmann: „On binary dichotomic algorithms“, preprint


Submitted papers

1) E. Fimmel, S. Giannerini, D. Gonzales and L. Strüngmann: „Self-complementary codes and the genetic information“, submitted to Journal for Mathematical Biology

2) G. Braun and L. Strüngmann: "Pathological examples of dual groups", submitted to Journal of the London Math. Soc.

 


Accepted for publication

1) A. Danielli, E. Fimmel and L. Strüngmann: „On Dichotomy Classes and Bijections of the Genetic Code“, to appear in Journal for Theoretical Biology

2) S. Shelah and L. Strüngmann: "On the p-rank of Ext(A,B) for countable abelian groups A and B", to appear in Israel Journal of Mathematics.

3) G. Braun and L. Strüngmann: " The independence of the notions of Hopfian and Co-Hopfian abelian p-groups", to appear in Proc. AMS.



Publications

1) S. Friedenberg and L. Strüngmann: „Extensions in the class of countable Abelian groups“, Acta Mathematica Hungarica: Volume 140, Issue 4 (2013), 316-328

2) R. Göbel, S. Shelah and L. Strüngmann:  “אn-free modules over complete discrete valuation domains with small dual”, Glasgow Journal for Mathematics 55 (2013) 369–380.

3) K. Blagoveshchenskaya, R. Göbel and L. Strüngmann: „Classification of some Butler groups of infinite rank“, Journal of Algebra 380 (2013) 1–17

4) L. Strüngmann, M. Droste, L. Fuchs, K. Tent (editors): Groups and model theory. In honor of Rüdiger Göbel's 70th birthday. Proceedings of the conference, conference center ``Die Wolfsburg", Mühlheim an der Ruhr, Germany, May 30--June 3, 2011, Contemp. Math. 576, AMS (2012)

5) C. Jacoby, K. Leistner, P. Loth and L. Strüngmann: “Abelian groups with partial decomposition bases in L1ω∞“, Groups and model theory. In honor of Rüdiger Göbel's 70th birthday. Proceedings of the conference, conference center ``Die Wolfsburg", Mühlheim an der Ruhr, Germany, May 30--June 3, 2011, Mülheim 2011, Contemp. Math. 576, AMS (2012), 163-175.

6) U. Albrecht, S. Friedenberg und L. Strüngmann: “The torsion-freeness of Ext for modules over Dedekind domains”, International Journal of Algebra 6 (2012), 399-414.

7) R. Göbel, J. Rodriguez und L. Strüngmann:  “Cellular covers of cotorsion-free modules”, Fund. Math. 217 (2012), 211-231.

8) S. Shelah und L. Strüngmann: "Kulikov's problem for torsion-free abelian groups - revisited", Bulletin of the London Math. Society 43 Issue 6 (2011), p1198-1205.

9) G. Braun und L. Strüngmann: “Breaking up finite automata presentable torsion-freeabelian groups”, International Journal of Algebra and Computation (2011), 1463-1472.

10) K. Emler, R. Göbel, P. Loth und L. Strüngmann: “Infinitary equivalence of Zp-modules with nice decomposition bases“, Journal for commutative Algebra 3 (2011), 321-348.

11) D. Herden und L. Strüngmann: “Pure subgroups of completely decomposable groups – an algorithmic approach part II“, Illinois Journal of Mathematics 55 (2011), 1533-1549.

12) G. Braun und L. Strüngmann: “Finite automata representable abelian groups”, International Journal of Algebra and Computation, Vol. 21 (8) (2011), 1463-1472.
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13) S. Shelah und L. Strüngmann: “Filtration equivalent separable abelian groups of cardinalityא“, Annals of Pure and Applied Logic 161 (2010), 935-943.

14) J. Rodriguez und L. Strüngmann:  “Cellular covers with free kernel“, Mediterranean Journal of Math. DOI 10.1007/s00009-010-0109-1 (2010).

15) C. Meehan und L. Strüngmann: “Rational rings related to weakly transitive torsion-free abelian groups”, Journal of Algebra and its Applications 8 (2009), 723-732.

16) L. Strüngmann: “On endomorphism rings of B1-groups that are not B2-groups when adding א4 reals to the ground model“, Proceedings of AMS 137 (2009), 3657-3668.

17) S. Shelah und L. Strüngmann: “Large minimal groups under (V=L)”, Quarterly J. of Math. 60 (2009), 353-365.

18) D. Herden und L. Strüngmann: “Pure subgroups of completely decomposable groups – an algorithmic approach”, in Models, Modules and Abelian Groups (in memory of A.L.S. Corner), eds. B. Goldsmith and R. Göbel, Walter De Gruyter (2008), 169-186.

19) R. Göbel, N. Hülsmann und L. Strüngmann: “Bext cotorsion theories”, Canadian J. of Pure and Applied Sciences 2 (2008), 607-628.

20) A. Mader und L. Strüngmann: “A class of finitely Butler groups and their endomorphism rings”, Hokkaido Journal of Mathematics 37 (2008), 399-425.

21) S. Shelah und L. Strüngmann: “On the p-rank of Ext(G, Z) in certain models of ZFC”, Algebra and Logic 46 (2007), 200-215.

22) R. Göbel, N. Hülsmann und L. Strüngmann: “A generalization of Whitehead’s problem and its independence”, Annals of Pure and Applied Logic 148 (2007), 20-30.

23) E. Blagoveshchenskaya und L. Strüngmann: “Near-isomorphism for infinite rank torsion-free abelian groups”, Communications in Algebra 35 (2007), 1055-1072.

24) B. Goldsmith und L. Strüngmann: “Some transitivity results for torsion abelian groups”, Houston Journal of Mathematics 33 (2007), 941-957.

25) S. Pokutta und L. Strüngmann: “On the Chase radical and reduced products”, Journal of Pure and Appl. Algebra 211 (2007), 532-540.

26) S. Shelah und L. Strüngmann: “A characterization of Ext(G, Z) assuming (V=L)”, Fundamenta Mathematicae  193 (2007), 141-151.

27) L. Strüngmann: “Ext-universal modules in Gödel's universe“, Forum Mathematicum 19 (2007), 307-323.

28) L. Strüngmann: “(V,W)-cotorsion pairs”, Archiv der Mathematik 86 (2006), 193-204.

29) L. Strüngmann: “Baer cotorsion pairs”, Israel Journal of Mathematics 151 (2006), 29-51.

30) A. Mader und L. Strüngmann: “Generalized almost completely decomposable groups”, Rend. Sem. Mat. Univ. Padova 113 (2005), 47-69.

31) S. Bazzoni, R. Göbel und L. Strüngmann: “Pure injectivity of n-cotilting modules: the Prüfer and the countable case”, Archiv der Mathematik 84 (2005), 216-224.

32) B. Goldsmith und L. Strüngmann: “Weakly transitive torsion-free abelian groups”, Comm. in Algebra 33 (2005), 1177-1191.

33) J. Rodriguez, J. Scherer und L. Strüngmann: “Localizations of abelian p-groups”, Fundamenta Mathematicae 183 (2005), 123-138.

34) L. Strüngmann: “Minimal completely decomposable groups”, Proceedings Royal Irish Academy 105A (2005), 107-110.

35) R. Göbel, S. Shelah und L. Strüngmann: “Generalized E-rings”, in Rings, Modules, Algebras and Abelian Groups, Lecture Notes in Pure and Applied Math. 236, Dekker, New York (2004), 291-306.

36) L. Strüngmann: “Derived cotorsion theories”, Habilitationsschrift, Universität Duisburg-Essen (2004).

37) R. Göbel, S. Shelah und L. Strüngmann:  “Almost-free E-rings of cardinality א1”, Canadian Journal of Mathematics 55 (2003), 750--765.

38) M. Ould-Beddi und L. Strüngmann: “Tight subgroups in torsion-free groups”, Israel Journal of Mathematics 135 (2003), 251-268.

39) A. Paras und L. Strüngmann: “Fully transitive p-groups with finite first Ulm subgroup”, Proceedings of AMS 131 (2003), 371-377.

40) S. Shelah und L. Strüngmann:  “Kulikov's problem on universal torsion-free abelian groups”, Journal of London Mathematical Society 67 (2003), 626-642.

41) S. Shelah und L. Strüngmann: “It is consistent with ZFC that B1-groups are not B2- groups”, Forum Mathematicum 15 (2003), 507-524.

42) L. Strüngmann: “On the existence of rings with prescribed endomorphism group”, Houston Journal of Mathematics 29 (2003), 553--557.

43) S. Shelah und L. Strüngmann: “Cotorsion theories cogenerated by א1-free abelian groups”, Rocky Mountain Journal of Mathematics 32 (2002), 1617-1626.

44) L. Strüngmann: “Torsion groups in cotorsion classes”, Rend. Sem. Mat. Univ. Padova 107 (2002), 35-55.

45) L. Strüngmann: “On problems by Baer and Kulikov using (V=L)”, Illinois Journal of Mathematics 46 (2002), 477-490.

46) R. Göbel und L. Strüngmann: “Almost-free E(R)-algebras and E(A,R)-modules”, Fundamenta Mathematicae 169 (2001), 175-192.

47) M. Ould-Beddi und L. Strüngmann: “Stacked bases for countable homogeneous completely decomposable groups”, Communications in Algebra 29 (2001), 434-4356.

48) L. Salce und L. Strüngmann: “Stacked bases for homogeneous completely decomposable groups”, Communications in Algebra 29 (2001), 2575-2588.

49) S. Shelah und L. Strüngmann: “The failure of the uncountable non-commutative Specker Phenomenon”, Journal of Group Theory 4 (2001), 417-426.

50) L. Strüngmann: “A category equivalence between homogeneous completely decomposable groups and modules over principal ideal domains”, Journal of Pure and Applied Algebra 159 (2001), 339-346.

51) L. Strüngmann und S. Wallutis: “On torsion groups in cotorsion classes”, in Abelian Groups, Rings and Modules, AGRAM 2000 Conference, Perth, Western Australia, Contemp. Math. 273 (2001), 269-283.

52) G. Hennecke und L. Strüngmann: “Transitivity and Full Transitivity for p-local Modules”, Archiv der Mathematik 74-5 (2000), 321-329.

53) A. Mader und L. Strüngmann: “Bounded essential extensions of completely decomposable groups”, Journal of Algebra 229 (2000), 205-233.

54) L. Strüngmann: “Does the automorphism group generate the endomorphism ring in Rep(S,R) ?”, Journal of Algebra 231 (2000), 163-179.

55) M. Ould-Beddi und L. Strüngmann: “Stacked bases for a pair of homogeneous completely decomposable groups with bounded quotient”,  Proceedings Int. Conf. on Abelian Groups and Modules, Dublin 1998, (eds. P. Eklof und R. Göbel), Birkhäuser Verlag (1999), 199-209.

56) L. Strügmann: “Almost-free E(R)-algebras over countable domains”, Ph.D. thesis, Universität Essen (1998).