Generalized Cotorsion Locally Compact abelian Groups

N. I. Kryuchkov

Rendiconti del Seminario Matematico della Università di Padova (2012)

  • Volume: 127, page 107-120
  • ISSN: 0041-8994

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Kryuchkov, N. I.. "Generalized Cotorsion Locally Compact abelian Groups." Rendiconti del Seminario Matematico della Università di Padova 127 (2012): 107-120. <http://eudml.org/doc/275099>.

@article{Kryuchkov2012,
author = {Kryuchkov, N. I.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {locally compact groups; character group; homological characteristics of groups; cotorsion groups},
language = {eng},
pages = {107-120},
publisher = {Seminario Matematico of the University of Padua},
title = {Generalized Cotorsion Locally Compact abelian Groups},
url = {http://eudml.org/doc/275099},
volume = {127},
year = {2012},
}

TY - JOUR
AU - Kryuchkov, N. I.
TI - Generalized Cotorsion Locally Compact abelian Groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2012
PB - Seminario Matematico of the University of Padua
VL - 127
SP - 107
EP - 120
LA - eng
KW - locally compact groups; character group; homological characteristics of groups; cotorsion groups
UR - http://eudml.org/doc/275099
ER -

References

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  1. [1] D. Harrison, Infinite abelian groups and homological methods, Ann. Math., 69 (1959), pp. 366–409. Zbl0100.02901MR104728
  2. [2] L. Fuchs, Notes on abelian groups, I, Ann. Unniv. Sci. Budapest., 2 (1959), pp. 5–23; II, Acta. Math. Acad. Sci. Hungar., 11 (1960), pp. 117–125. Zbl0090.02001MR123608
  3. [3] R. J. Nunke, Modules of extensions over Dedekind rings, Ill. J. Math., 3 (1959), pp. 222–241. Zbl0087.26603MR102538
  4. [4] L. Fuchs, Infinite abelian groups. V. 1, Academic Press, 1970. Zbl0257.20035MR255673
  5. [5] L. Fuchs, Infinite abelian groups. V. 2, Academic Press, 1973. Zbl0209.05503MR349869
  6. [6] E. Hewitt - K. Ross, Abstract Harmonic Analysis. V. 1, Springer, 1975. Zbl0213.40103
  7. [7] P. Loth, Classification of Abelian groups and Pontrjagin Duality. Gordon and Breach Science Publishers, 1998. Zbl1016.20038MR1741074
  8. [8] R. Fulp - Ph. Griffith, Extensions of locally compact abelian groups I, II, Trans. Amer. Math. Soc., 154 (1971), pp. 341–363. Zbl0216.34302MR272870
  9. [9] N. I. Kryuchkov, On the abelian extensions of locally compact abelian groups, Math. USSR Sb, 41 (1982), pp. 511–522. Zbl0478.22005
  10. [10] F. Kiefer, The duals of totally projective groups, Lecture Notes in Math., 874 (1981), pp. 297–304. Zbl0464.20044MR645936

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