Valued vector spaces and abelian p -groups

Laszlo Fuchs

Groupe d'étude d'algèbre Groupe d'étude d'algèbre (1976-1977)

  • Volume: 2, page 1-12

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Fuchs, Laszlo. "Valued vector spaces and abelian $p$-groups." Groupe d'étude d'algèbre Groupe d'étude d'algèbre 2 (1976-1977): 1-12. <http://eudml.org/doc/92002>.

@article{Fuchs1976-1977,
author = {Fuchs, Laszlo},
journal = {Groupe d'étude d'algèbre Groupe d'étude d'algèbre},
language = {eng},
pages = {1-12},
publisher = {Secrétariat mathématique},
title = {Valued vector spaces and abelian $p$-groups},
url = {http://eudml.org/doc/92002},
volume = {2},
year = {1976-1977},
}

TY - JOUR
AU - Fuchs, Laszlo
TI - Valued vector spaces and abelian $p$-groups
JO - Groupe d'étude d'algèbre Groupe d'étude d'algèbre
PY - 1976-1977
PB - Secrétariat mathématique
VL - 2
SP - 1
EP - 12
LA - eng
UR - http://eudml.org/doc/92002
ER -

References

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  1. [1] Charles ( B.). - Etudes des groupes abéliens primaires de type ≥ ω, Ann. Univ. Sarav., t. 4, 1955, p. 184-199. Zbl0088.02501
  2. [2] Crawley ( P.) and Hales ( A.W.). - The structure of abelian p-groups given by certains representations, I and II, J. of Algebra, t. 12, 1969, p. 10-23 and t. 18, 1971, p. 264-268. Zbl0174.31103MR238947
  3. [3] Fuchs ( L.). - Infinite abelian groups, vol. I. - New York, Academic Press, 1970, vol. II. - New York, Academic Press, 1973 (Pure and applied Mathematics, Academic Press, 36). Zbl0209.05503MR255673
  4. [4] Fuchs ( L.). - Vector spaces with valuations, J. of algebra, t. 35, 1975, p. 23-38. Zbl0318.15002MR371995
  5. [5] Fuchs ( L.). - Subfree valued vector spaces (to appear). Zbl0389.15001MR480700
  6. [6] Fuchs ( L.) and Irwin ( J.). - On pω+1-projective p-groups, Proc. London math. Soc., t. 30, 1975, p. 459-470. Zbl0324.20059
  7. [7] Hill ( P.). - On the classification of abelian p-groups (preprint). 
  8. [8] Hill ( P.). - A classification of direct sums of closed groups, Acta Math. Acad. Sc. Hungar., t. 17, 1966, p. 263-266. Zbl0144.26504MR199258
  9. [9] Hill ( P.) and Megibben ( C.). - On direct sums of countable groups and generalizations, "Etudes sur les groupes abéliens - Studies on abelian groups". Colloque sur la théorie des groupes abéliens [1967. Montpellier], p. 183-206. - Paris, Dunod ; Berlin, Springer-Verlag, 1968. Zbl0203.32705MR242943
  10. [10] Honda ( K.). - Realism in the theory of abelian groups, III, Comment. math. Univ. Sancti Pauli, t. 12, 1964, p. 75-111. Zbl0123.02302MR162848
  11. [11] Ingleton ( A.W.). - The Hahn-Banach theorem for non-archimedean-valued fields, Proc. Cambridge phil. Soc., t. 48, 1952, p. 41-45. Zbl0046.12001MR45939
  12. [12] Irwin ( J.M.), Walker ( C.) and Walker ( E.A.). - On pα-pure sequences of abelian groups, "Topics in abelian groups. Proceedings at the symposium on abelian groups [1962. New Mexico]", p. 69-119. - Chicago, Scott, Foresman and Company, 1963. 
  13. [13] Megibben ( C.). - A generalization of the classical theory of primary groups, Tôhoku math. J., Second Series, t. 20, 1970, p. 347-356. Zbl0222.20017MR294491
  14. [14] Nunke ( R.). - Homology and direct sums of countable abelian groups, Math. Z., t. 101, 1967, p. 182-212. Zbl0173.02401MR218452
  15. [15] Prüfer ( H.). - Untersuchungen über die Zerlegbarbeit der abzählbaren primären Abelschen Gruppen, Math. Z., t. 17, 1923, p. 35-61. Zbl49.0084.03MR1544601JFM49.0084.03
  16. [16] Richman ( F.). - Extensions of p-bounded groups, Arch. Math., t. 21, 1970, p. 449-454. Zbl0209.05701MR276333

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