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Article

Title: Dependence over modules (English)
Author: Dlab, Vlastimil
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 16
Issue: 1
Year: 1966
Pages: 137-157
Summary lang: Russian
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Category: math
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MSC: 16.40
idZBL: Zbl 0139.26101
idMR: MR0190188
DOI: 10.21136/CMJ.1966.100718
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Date available: 2008-06-09T13:28:50Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100718
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Reference: [1] R. Baer: Abelian groups without elements of finite-order.Duke Math. J., 3 (1937), 68-122. Zbl 0016.20303, MR 1545974, 10.1215/S0012-7094-37-00308-9
Reference: [2] V. Dlab: D-rang einer abelschen Gruppe.Čas. pro pěst. mat., 52 (1957), 314-334. Zbl 0101.26403, MR 0092785
Reference: [3] V. Dlab: On the dependence relation over abelian groups.Publ. Math. Debrecen, 9 (1962), 75-80. MR 0147541
Reference: [4] F. Dlab: General algebraic dependence relations.Publ. Math. Debrecen, 9 (1962), 324-355. Zbl 0119.01602, MR 0150078
Reference: [5] V. Dlab: Algebraic dependence structures.CMUC 5, 4 (1964), 241 - 246. Zbl 0134.25503, MR 0172827
Reference: [6] V. Dlab: On the dependence relation over modules.CMUC 6, 1 (1965), 115-117. Zbl 0127.01504, MR 0174596
Reference: [7] F. Dlab: General algebraic dependence structures and some applications.to appear in Coll.. Math. Zbl 0136.26302
Reference: [8] J. L. Dorroh: Concerning adjunctions to algebras.Bull. Amer. Math. Soc, 38 (1932), 85-88. Zbl 0003.38701, MR 1562332, 10.1090/S0002-9904-1932-05333-2
Reference: [9] L. Fuchs: Ranks of modules.Ann. Univ. Sci. Budapest, Sect. Math., 6 (1963), 71 - 78. Zbl 0122.28805, MR 0168601
Reference: [10] С Hopkins: Rings with minimal condition for left ideals.Armais of Math. 40 (1939), 712 - 730. Zbl 0022.10602, MR 0000012
Reference: [11] A. Kertész: On independent sets of elements in algebra.Acta Sci. Math. Szeged, 21 (I960),. 260-269. MR 0133280
Reference: [12] T. Szele: Ein Analogen der Körpertheorie für abelsche Gruppen.J. reine u. angew. Math., 188 (1950), 167-192. MR 0049185
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