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Dlab, Vlastimil
The structure of torsion-free rings (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 9 (1968), issue 1, pp. 41-46
MSC: 16-50, 16Axx | MR 0231861 | Zbl 0169.05002
References:
[1] V. DLAB: Die Endomorphismenringe Abelscher Gruppen und die Datrstellung von Ringen durch Matrizenringe. Czech. Math. J. 7 (1957), 485-523. MR 0094383
[2] V. DLAB: Distinguished families of ideals of a ring. to appear.
[3] V. DLAB: The concept of rank and some related questions in the theory of modules. Comment. Math. Univ. Carolinae 8 (1967), 39-47. MR 0210741 | Zbl 0154.03002
[4] V. DLAB: Rank theory of modules. to appear. MR 0246909 | Zbl 0192.38001
[5] V. DLAB: Matrix representation of torsion-free rings. to appear. MR 0245612 | Zbl 0182.36902
[6] V. DLAB: Matrix rings as injective hulls of torsion-free tidy rings. to appear. MR 0366976 | Zbl 0227.16016
[7] A. W. GOLDIE: The structure of prime rings under ascending chain conditions. Proc. London Math. Soc. 8 (1958), 589-608. MR 0103206 | Zbl 0084.03705
[8] A. W. GOLDIE: Semi-prime rings with maximum condition. Proc. London Math. Soc. 10 (1960), 201-220. MR 0111766 | Zbl 0091.03304
[9] R. E. JOHNSON: The extended centralizer of a ring over a module. Proc. Amer. Math. Soc. 2 (1951), 891-895. MR 0045695 | Zbl 0044.02204
[10] R. E. JOHNSON: Quotient rings of rings with zero singular ideal. Pacific J. Math. 11 (1961), 1385-1392. MR 0143779 | Zbl 0204.04504
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