Pure injective and *-pure injective LCA groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 133 (2015), pp. 91-102. 
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     author = {Loth, Peter},
     title = {Pure injective and $*$-pure injective {LCA} groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {91--102},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {133},
     year = {2015},
     mrnumber = {3354945},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_2015__133__91_0/}
}
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Loth, Peter. Pure injective and $*$-pure injective LCA groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 133 (2015), pp. 91-102. http://www.numdam.org/item/RSMUP_2015__133__91_0/

[1] D. L. Armacost, The Structure of Locally Compact Abelian Groups, Marcel Dekker Inc., New York, 1981. | MR | Zbl

[2] J. Braconnier, Sur les groupes topologiques localement compacts, J. Math. Pures Appl., N.S. 27 (1948), pp. 1–85. | MR | Zbl

[3] J. Dixmier, Quelques propriétés des groupes abéliens localement compacts, Bull. Sci. Math. (2) 81 (1957), pp. 38–48. | MR | Zbl

[4] D. N. Dikranjan, I. R. Prodanov and L. N. Stoyanov, Topological Groups: Dualities and Minimal Group Topologies, Marcel Dekker Inc., New York, Basel, 1989. | MR | Zbl

[5] R. D. Engelking, General Topology, revised and completed edition, Heldermann Verlag, Berlin, 1989. | MR | Zbl

[6] L. Fuchs, Infinite Abelian Groups, Vol. I, Academic Press, New York, 1970. | MR | Zbl

[7] R. O. Fulp, Homological study of purity in locally compact groups, Proc. London Math. Soc. 21 (1970), pp. 501–512. | MR | Zbl

[8] R. O. Fulp, Splitting locally compact abelian groups, Michigan Math. J. 19 (1972), pp. 47–55. | MR | Zbl

[9] R. O. Fulp and P. Griffith, Extensions of locally compact abelian groups I, Trans. Amer. Math. Soc. 154 (1971), pp. 341–356. | Zbl

[10] R. O. Fulp and P. Griffith, Extensions of locally compact abelian groups II, Trans. Amer. Math. Soc. 154 (1971), pp. 357–363. | MR | Zbl

[11] P. A. Griffith, Infinite Abelian Group Theory, The University of Chicago Press, Chicago and London (1970). | MR | Zbl

[12] E. Hewitt and K. Ross, Abstract Harmonic Analysis, Vol. I, second edition, Springer Verlag, Berlin, 1979. | MR | Zbl

[13] P. Loth, Topologically pure extensions, in: Abelian Groups, Rings and Modules, Proceedings of the AGRAM 2000 Conference in Perth, Western Australia, July 9-15, 2000, Contemp. Math. 273, Amer. Math. Soc. (2001), pp. 191–201. | MR | Zbl

[14] P. Loth, Pure extensions of locally compact abelian groups, Rend. Sem. Mat. Univ. Padova 116 (2006), pp. 31–40. | Numdam | MR | Zbl

[15] M. Moskowitz, Homological algebra in locally compact abelian groups, Trans. Amer. Math. Soc. 127 (1967), pp. 361–404. | MR | Zbl

[16] L. C. Robertson, Connectivity, divisibility and torsion, Trans. Amer. Math. Soc. 128 (1967), pp. 482–505. | MR | Zbl

[17] M. Stroppel, Locally Compact Groups, EMS Textbooks in Mathematics, Eur. Math. Soc., Zürich, 2006. | MR | Zbl

[18] N. Vilenkin, 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).] | MR | Zbl