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@article{BASM_2007_3_a6, author = {Valeriu Popa}, title = {On {mixed~LCA} groups with commutative rings of continuous endomorphisms}, journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica}, pages = {73--90}, publisher = {mathdoc}, number = {3}, year = {2007}, language = {en}, url = {http://geodesic.mathdoc.fr/item/BASM_2007_3_a6/} }
TY - JOUR AU - Valeriu Popa TI - On mixed~LCA groups with commutative rings of continuous endomorphisms JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica PY - 2007 SP - 73 EP - 90 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BASM_2007_3_a6/ LA - en ID - BASM_2007_3_a6 ER -
Valeriu Popa. On mixed~LCA groups with commutative rings of continuous endomorphisms. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2007), pp. 73-90. http://geodesic.mathdoc.fr/item/BASM_2007_3_a6/
[1] Armacost D. L., The structure of locally compact abelian groups, Pure and Applied Mathematics Series, 68, Marcel Dekker, New York, 1981 | MR | Zbl
[2] Bourbaki N., Topologie generale. Éléments de mathematique, Chapter 1–2, Nauka, Moscow, 1968 | Zbl
[3] Bourbaki N., Topologie generale.Éléments de mathematique, Chapter 3–8, Nauka, Moscow, 1969 | Zbl
[4] Dikranjan D., Prodanov I., Stoyanov L., Topological groups, Pure and Applied Mathematics Series, 130, Marcel Dekker, New York–Basel, 1990 | MR | Zbl
[5] Fuchs L., Infinite abelian groups, Vol. 1, Academic Press, New York–London, 1970 | MR | Zbl
[6] Fuchs L., Infinite abelian groups, Vol. 2, Academic Press, New York–London, 1973 | MR | Zbl
[7] Griffith Ph., Infinite abelian group theory, The University of Chicago Press, Chicago–London, 1970 | MR
[8] Hewitt E., Ross K., Abstract Harmonic Analysis, Vol. 1, Nauka, Moscow, 1975 | MR
[9] Hungerford T., Algebra, Springer-Verlag, New York, 1974 | MR
[10] Van Leeuwen L. C. A., “On the endomorphism rings of direct sums of groups”, Acta Scient. Math., 28:1–2 (1967), 21–29 | MR | Zbl
[11] Morris S., Pontryagin duality and the structure of locally compact abelian groups, Cambridge University Press, Cambridge, 1977 | MR | Zbl
[12] Moskowitz M., “Homological algebra in locally compact abelian groups”, Trans. Amer. Math. Soc., 127 (1967), 361–404 | DOI | MR | Zbl
[13] Popa V., “Units, idempotents and nilpotents of an endomorphism ring, II”, Bul. Acad. Şt. R. Moldova, Matematica, 1997, no. 1(23), 93–105 | MR
[14] Popa V., “On topological torsion LCA groups with commutative ring of continuous endomorphisms”, Bul. Acad. Şt. R. Moldova, Matematica, 2006, no. 3(52), 87–100 | MR | Zbl
[15] Popa V., “On LCA groups in which some closed subgroups have commutative rings of continuous endomorphisms”, Bul. Acad. Şt. R. Moldova, Matematica, 2007, no. 1(53), 83–94 | MR | Zbl
[16] Popa V., “On torsionfree LCA groups with commutative rings of continuous endomorphisms”, Bul. Acad. Şt. R. Moldova, Matematica, 2007, no. 2(54), 81–100 | MR | Zbl
[17] Szele T., Szendrei J., “On abelian groups with commutative endomorphism ring”, Acta Math. Acad. Sci. Hung., 2 (1951), 309–324 | DOI | MR | Zbl