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Title: The structure of torsion-free rings (Preliminary communication) (English)
Author: Dlab, Vlastimil
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 9
Issue: 1
Year: 1968
Pages: 41-46
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Category: math
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MSC: 16-50
MSC: 16Axx
idZBL: Zbl 0169.05002
idMR: MR0231861
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Date available: 2008-06-05T20:26:57Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105153
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Reference: [1] V. DLAB: Die Endomorphismenringe Abelscher Gruppen und die Datrstellung von Ringen durch Matrizenringe.Czech. Math. J. 7 (1957), 485-523. MR 0094383
Reference: [2] V. DLAB: Distinguished families of ideals of a ring.to appear.
Reference: [3] V. DLAB: The concept of rank and some related questions in the theory of modules.Comment. Math. Univ. Carolinae 8 (1967), 39-47. Zbl 0154.03002, MR 0210741
Reference: [4] V. DLAB: Rank theory of modules.to appear. Zbl 0192.38001, MR 0246909
Reference: [5] V. DLAB: Matrix representation of torsion-free rings.to appear. Zbl 0182.36902, MR 0245612
Reference: [6] V. DLAB: Matrix rings as injective hulls of torsion-free tidy rings.to appear. Zbl 0227.16016, MR 0366976
Reference: [7] A. W. GOLDIE: The structure of prime rings under ascending chain conditions.Proc. London Math. Soc. 8 (1958), 589-608. Zbl 0084.03705, MR 0103206
Reference: [8] A. W. GOLDIE: Semi-prime rings with maximum condition.Proc. London Math. Soc. 10 (1960), 201-220. Zbl 0091.03304, MR 0111766
Reference: [9] R. E. JOHNSON: The extended centralizer of a ring over a module.Proc. Amer. Math. Soc. 2 (1951), 891-895. Zbl 0044.02204, MR 0045695
Reference: [10] R. E. JOHNSON: Quotient rings of rings with zero singular ideal.Pacific J. Math. 11 (1961), 1385-1392. Zbl 0204.04504, MR 0143779
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