@article{RSMUP_2006__116__31_0,
author = {Loth, Peter},
title = {Pure extensions of locally compact abelian groups},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {31--40},
year = {2006},
publisher = {Seminario Matematico of the University of Padua},
volume = {116},
mrnumber = {2287341},
zbl = {1165.22301},
language = {en},
url = {https://www.numdam.org/item/RSMUP_2006__116__31_0/}
}
TY - JOUR AU - Loth, Peter TI - Pure extensions of locally compact abelian groups JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2006 SP - 31 EP - 40 VL - 116 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_2006__116__31_0/ LA - en ID - RSMUP_2006__116__31_0 ER -
%0 Journal Article %A Loth, Peter %T Pure extensions of locally compact abelian groups %J Rendiconti del Seminario Matematico della Università di Padova %D 2006 %P 31-40 %V 116 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_2006__116__31_0/ %G en %F RSMUP_2006__116__31_0
Loth, Peter. Pure extensions of locally compact abelian groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 116 (2006), pp. 31-40. https://www.numdam.org/item/RSMUP_2006__116__31_0/
[AA] and , Uniqueness in structure theorems for LCA groups, Can. J. Math. 30 (1978), pp. 593-599. | Zbl | MR
[A] , The Structure of Locally Compact Abelian Groups, Marcel Dekker Inc., New York, 1981. | Zbl | MR
[B] , Sur les groupes topologiques localement compacts, J. Math. Pures Appl., N.S. 27 (1948), pp. 1-85. | Zbl | MR
[F] , Infinite Abelian Groups, Vol. I, Academic Press, New York, 1970. | Zbl | MR
[Fu1] , Homological study of purity in locally compact groups, Proc. London Math. Soc. 21 (1970), pp. 501-512. | Zbl | MR
[Fu2] , Splitting locally compact abelian groups, Michigan Math. J. 19 (1972), pp. 47-55. | Zbl | MR
[FG1] and , Extensions of locally compact abelian groups I, Trans. Amer. Math. Soc. 154 (1971), pp. 341-356. | Zbl | MR
[FG2] and , Extensions of locally compact abelian groups II, Trans. Amer. Math. Soc. 154 (1971), pp. 357-363. | Zbl | MR
[HH] and , Les sous-groupes purs et leurs duals, Fund. Math. 45 (1957), pp. 71-77. | Zbl | MR
[HR] and , Abstract Harmonic Analysis, Vol. I, Second Edition, Springer Verlag, Berlin, 1979. | Zbl | MR
[K] , Infinite Abelian Groups, Revised Edition, Univ. of Michigan Press, Ann Arbor, Michigan, 1969. | Zbl | MR
[Kh] , The finite torsion subgroup of an LCA group need not split, Period. Math. Hungar. 31 (1995), pp. 43-44. | Zbl | MR
[L1] , Topologically pure extensions, Abelian Groups, Rings and Modules, Proceedings of the AGRAM 2000 Conference in Perth, Western Australia, July 9-15, 2000, Contemporary Mathematics 273, American Mathematical Society (2001), pp. 191-201. | Zbl | MR
[L2] , On pure subgroups of locally compact abelian groups, Arch. Math. 81, (2003), pp. 255-257. | Zbl | MR
[M] , Homological algebra in locally compact abelian groups, Trans. Amer. Math. Soc. 127 (1967), pp. 361-404. | Zbl | MR
[R] , Connectivity, divisibility and torsion, Trans. Amer. Math. Soc. 128 (1967), pp. 482-505. | Zbl | MR
[V] , Direct decompositions of topological groups I, Mat. Sb., N. S. 19 (61) (1946), pp. 85-154. [English translation from the Russian by E. Hewitt in A.M.S. Translations, Series 1, Volume 23, Providence, Rhode Island (1950).] | Zbl | MR






