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 |
. |
Category:
|
math |
. |
MSC:
|
16.40 |
idZBL:
|
Zbl 0182.36902 |
idMR:
|
MR0245612 |
DOI:
|
10.21136/CMJ.1969.100896 |
. |
Date available:
|
2008-06-09T13:41:45Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100896 |
. |
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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