Valued vector spaces and abelian p-groups
Groupe d'étude d'algèbre, Tome 2 (1976-1977), Exposé no. 7, 12 p. 
@article{GEA_1976-1977__2__A7_0,
     author = {Fuchs, Laszlo},
     title = {Valued vector spaces and abelian $p$-groups},
     journal = {Groupe d'\'etude d'alg\`ebre},
     note = {talk:7},
     pages = {1--12},
     publisher = {Secr\'etariat math\'ematique},
     volume = {2},
     year = {1976-1977},
     mrnumber = {486204},
     zbl = {0375.20038},
     language = {en},
     url = {http://www.numdam.org/item/GEA_1976-1977__2__A7_0/}
}
TY  - JOUR
AU  - Fuchs, Laszlo
TI  - Valued vector spaces and abelian $p$-groups
JO  - Groupe d'étude d'algèbre
N1  - talk:7
PY  - 1976-1977
SP  - 1
EP  - 12
VL  - 2
PB  - Secrétariat mathématique
UR  - http://www.numdam.org/item/GEA_1976-1977__2__A7_0/
LA  - en
ID  - GEA_1976-1977__2__A7_0
ER  - 
%0 Journal Article
%A Fuchs, Laszlo
%T Valued vector spaces and abelian $p$-groups
%J Groupe d'étude d'algèbre
%Z talk:7
%D 1976-1977
%P 1-12
%V 2
%I Secrétariat mathématique
%U http://www.numdam.org/item/GEA_1976-1977__2__A7_0/
%G en
%F GEA_1976-1977__2__A7_0
Fuchs, Laszlo. Valued vector spaces and abelian $p$-groups. Groupe d'étude d'algèbre, Tome 2 (1976-1977), Exposé no. 7, 12 p. http://www.numdam.org/item/GEA_1976-1977__2__A7_0/

[1] Charles (B.). - Etudes des groupes abéliens primaires de type ≥ ω, Ann. Univ. Sarav., t. 4, 1955, p. 184-199. | Zbl

[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. | MR | Zbl

[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). | MR | Zbl

[4] Fuchs (L.). - Vector spaces with valuations, J. of algebra, t. 35, 1975, p. 23-38. | MR | Zbl

[5] Fuchs (L.). - Subfree valued vector spaces (to appear). | MR | Zbl

[6] Fuchs (L.) and Irwin (J.). - On pω+1-projective p-groups, Proc. London math. Soc., t. 30, 1975, p. 459-470. | Zbl

[7] Hill (P.). - On the classification of abelian p-groups (preprint).

[8] Hill (P.). - A classification of direct sums of closed groups, Acta Math. Acad. Sc. Hungar., t. 17, 1966, p. 263-266. | MR | Zbl

[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. | MR | Zbl

[10] Honda (K.). - Realism in the theory of abelian groups, III, Comment. math. Univ. Sancti Pauli, t. 12, 1964, p. 75-111. | MR | Zbl

[11] Ingleton (A.W.). - The Hahn-Banach theorem for non-archimedean-valued fields, Proc. Cambridge phil. Soc., t. 48, 1952, p. 41-45. | MR | Zbl

[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] Megibben (C.). - A generalization of the classical theory of primary groups, Tôhoku math. J., Second Series, t. 20, 1970, p. 347-356. | MR | Zbl

[14] Nunke (R.). - Homology and direct sums of countable abelian groups, Math. Z., t. 101, 1967, p. 182-212. | MR | Zbl

[15] Prüfer (H.). - Untersuchungen über die Zerlegbarbeit der abzählbaren primären Abelschen Gruppen, Math. Z., t. 17, 1923, p. 35-61. | JFM | MR

[16] Richman (F.). - Extensions of p-bounded groups, Arch. Math., t. 21, 1970, p. 449-454. | MR | Zbl