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Title: Matrix representation of torsion-free rings (English)
Author: Dlab, Vlastimil
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 19
Issue: 2
Year: 1969
Pages: 284-298
Summary lang: English
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Category: math
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MSC: 16.40
idZBL: Zbl 0182.36902
idMR: MR0245612
DOI: 10.21136/CMJ.1969.100896
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Date available: 2008-06-09T13:41:45Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100896
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Reference: [1] V. Dlab: Die Endomorphismeringe Abelscher Gruppen und die Darstellung von Ringen durch Matrizenringe.Czechoslovak Math. J., 7/82 (1957), 485-523. MR 0094383
Reference: [2] V. Dlab: Distinguished sets of ideals of a ring.Czechoslovak Math. J., 18l93 (1968), 560-567. Zbl 0164.34801, MR 0228529
Reference: [3] V. Dlab: Rank theory of modules.Fund. Math. 64 (1968). MR 0246909
Reference: [4] 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: [5] A. W. Goldie: S: emi-prime rings with maximum condition.Proc. London Math. Soc, 10 (1960), 201-220. MR 0111766
Reference: [6] A. W. Goldie: Torsion-free modules and rings.J. Algebra 1 (1964), 268-287. Zbl 0145.26804, MR 0164991, 10.1016/0021-8693(64)90023-7
Reference: [7] N. Jacobson: Structure of rings.Amer. Math. Soc. Colloq. Publ. 37, Providence, 1964. MR 0222106
Reference: [8] G. Michler: Der Satz von Artin-Wedderburn und er Satz von Goldie.Math. Annalen, 163 (1966), 299-304. MR 0201474, 10.1007/BF02052514
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