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Title: Extension functors on the category of $A$-solvable abelian groups (English)
Author: Albrecht, Ulrich F.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 41
Issue: 4
Year: 1991
Pages: 685-694
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Category: math
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MSC: 18B99
MSC: 20K35
MSC: 20K40
idZBL: Zbl 0776.20018
idMR: MR1134957
DOI: 10.21136/CMJ.1991.102499
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Date available: 2008-06-09T15:42:27Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102499
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Reference: [1] Albrecht U.: Endomorphism rings and $A$-projective torsion-free groups;.Abelian Group Theory, Honolulu 1983, Springer LNM 1006 (1983); 209-227. MR 0722620
Reference: [2] Albrecht U.: Baer's Lemma and Fuchs' Problem 84a;.Trans. Amer. Math. Soc. 293 (1986); 565-582. Zbl 0592.20058, MR 0816310
Reference: [3] Albrecht U.: Faithful abelian groups of infinite rank;.Proc. Amer. Math. Soc. 103 (1988); 21-26. Zbl 0646.20042, MR 0938637, 10.1090/S0002-9939-1988-0938637-8
Reference: [4] Albrecht U.: Abelian groups, $A$, such that the category of $A$-solvabIe groups is preabelian;.Abelian Group Theory, Perth 1987; Contemporary Mathematics, Vol. 87; American Mathematical Society; Providence (1987); 117-132. MR 0995270, 10.1090/conm/087/995270
Reference: [5] Albrecht U.: Endomorphism rings of faithfully flat abelian groups;.to appear in Resultate der Mathematik. Zbl 0709.20031, MR 1052585
Reference: [6] Arnold D., Lady I..: Endomorphism rings and direct sums of torsion-free abelian groups.Trans. Amer. Math. Soc. 211 (1975); 225-237. Zbl 0329.20033, MR 0417314, 10.1090/S0002-9947-1975-0417314-1
Reference: [7] Arnold D., Murley C.: Abelian groups, $A$ such that $\Hom(A,-)$ preserves direct sums of copies of $A$;.Pac. J. of Math. 56 (1975); 7-20. Zbl 0337.13010, 10.2140/pjm.1975.56.7
Reference: [8] Dugas M., Göbel R.: Every cotorsion-free ring is an endomorphism ring;.Proc. London Math. Soc. 45 (1982); 319-336. MR 0670040
Reference: [9] Fuchs L.: Infinite Abelian Groups.Vol. I and II, Academic Press; London, New York (1970/73). Zbl 0209.05503, MR 0255673
Reference: [10] Jans J.: Rings and Homology;.Reinhold-Winston; New York (1979).
Reference: [11] MacLane S.: Homology;.Academic Press; London, New York (1963). Zbl 0133.26502, MR 0156879
Reference: [12] Rotman J.: An Introduction to Homological Algebra;.Academic Press; London, New York (1982). MR 0538169
Reference: [13] Richman F., Walker E.: Ext in pre-abelian categories;.Pac. J. of Math. 71 (2) (1977); 521-535. Zbl 0354.18018, MR 0444742, 10.2140/pjm.1977.71.521
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