The generalized criterion of Dieudonné for primary valuated groups

Peter Vassilev Danchev

Acta Mathematica Universitatis Ostraviensis (2007)

  • Volume: 15, Issue: 1, page 3-6
  • ISSN: 1804-1388

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Danchev, Peter Vassilev. "The generalized criterion of Dieudonné for primary valuated groups." Acta Mathematica Universitatis Ostraviensis 15.1 (2007): 3-6. <http://eudml.org/doc/35166>.

@article{Danchev2007,
author = {Danchev, Peter Vassilev},
journal = {Acta Mathematica Universitatis Ostraviensis},
keywords = {valuated -groups; height valuations; valuated subgroups; nice subgroups; pure subgroups; Abelian -groups; -groups},
language = {eng},
number = {1},
pages = {3-6},
publisher = {University of Ostrava},
title = {The generalized criterion of Dieudonné for primary valuated groups},
url = {http://eudml.org/doc/35166},
volume = {15},
year = {2007},
}

TY - JOUR
AU - Danchev, Peter Vassilev
TI - The generalized criterion of Dieudonné for primary valuated groups
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2007
PB - University of Ostrava
VL - 15
IS - 1
SP - 3
EP - 6
LA - eng
KW - valuated -groups; height valuations; valuated subgroups; nice subgroups; pure subgroups; Abelian -groups; -groups
UR - http://eudml.org/doc/35166
ER -

References

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  1. P. V. Danchev, Generalized Dieudonne criterion, Acta Math. Univ. Comenianae (1) 74 (2005), 15-24. Zbl1111.20045MR2154393
  2. P. V. Danchev, The generalized criterion of Dieudonné for valuated abelian groups, Bull. Math. Soc. Sc. Math. Roumanie (2) 49 (2006), 149-155. MR2223310
  3. P. V. Danchev, Commutative group algebras of summable p-groups, Commun. Algebra (4) 35 (2007), 1275-1289. Zbl1122.20003MR2313667
  4. P. V. Danchev, Generalized Dieudonné and Honda criteria, Algebra Colloq. 15 (2008). Zbl1166.20047MR2477120
  5. J. A. Dieudonné, Sur les p-groupes abéliens infinis, Portugal. Math. (1) 11 (1952), 1-5. (1952) MR0046356
  6. L. Fuchs, Infinite Abelian Groups, vol. I and II, Mir, Moskva, 1974 and 1977. (In Russian.) (1974) MR0457533
  7. P. D. Hill, W. D. Ullery, 10.1080/00927879708826107, Comm. Algebra (12) 25 (1997), 4029-4038. (1997) Zbl0901.16012MR1481586DOI10.1080/00927879708826107
  8. K. Honda, Realism in the theory of abelian groups III, Comment. Math. Univ. St. Pauli (2) 12 (1964), 75-111. (1964) MR0162848
  9. L. Y. Kulikov, On the theory of abelian groups of arbitrary power I and II, Mat. Sborník (2) 9 (1941), 165-182 and (2) 16 (1945), 129-162. (In Russian.) (1941) MR0018180

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