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Dlab, Vlastimil
Matrix representation of torsion-free rings. (English). Czechoslovak Mathematical Journal, vol. 19 (1969), issue 2, pp. 284-298
MSC: 16.40 | MR 0245612 | Zbl 0182.36902 | DOI: 10.21136/CMJ.1969.100896
References:
[1] V. Dlab: Die Endomorphismeringe Abelscher Gruppen und die Darstellung von Ringen durch Matrizenringe. Czechoslovak Math. J., 7/82 (1957), 485-523. MR 0094383
[2] V. Dlab: Distinguished sets of ideals of a ring. Czechoslovak Math. J., 18l93 (1968), 560-567. MR 0228529 | Zbl 0164.34801
[3] V. Dlab: Rank theory of modules. Fund. Math. 64 (1968). MR 0246909
[4] 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
[5] A. W. Goldie: S: emi-prime rings with maximum condition. Proc. London Math. Soc, 10 (1960), 201-220. MR 0111766
[6] A. W. Goldie: Torsion-free modules and rings. J. Algebra 1 (1964), 268-287. DOI 10.1016/0021-8693(64)90023-7 | MR 0164991 | Zbl 0145.26804
[7] N. Jacobson: Structure of rings. Amer. Math. Soc. Colloq. Publ. 37, Providence, 1964. MR 0222106
[8] G. Michler: Der Satz von Artin-Wedderburn und er Satz von Goldie. Math. Annalen, 163 (1966), 299-304. DOI 10.1007/BF02052514 | MR 0201474
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