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Title: Pseudo-similarity and partial unit regularity (English)
Author: Hall, Frank J.
Author: Hartwig, Robert E.
Author: Katz, Irving Jack
Author: Newman, Morris
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 33
Issue: 3
Year: 1983
Pages: 361-372
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Category: math
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MSC: 15A21
MSC: 15A33
idZBL: Zbl 0544.15005
idMR: MR718921
DOI: 10.21136/CMJ.1983.101888
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Date available: 2008-06-09T14:55:11Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101888
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Reference: [1] T. P. Donovan: Certain matrix congruences mod $p^n$.Ann. Mat. Рurа Appl. IV, 65 (1977), 193-214. MR 0498638, 10.1007/BF02414717
Reference: [2] F. J. Hall R. E. Hartwig I. J. Katz: A note on pseudo-similarity of matrices.J. of Industrial Math. Soc. 28 (1978), 25-36. MR 0504636
Reference: [3] F. J. Hall I. J. Katz: On ranks of integral generalized inverses of integral matrices.Lin. and Mult. Alg. 7 (1979), 73-85. MR 0523650, 10.1080/03081087908817261
Reference: [4] R. E. Hartwig: How to partially order regular elements.Math. Japonica 25 (1980), 1-13. Zbl 0442.06006, MR 0571255
Reference: [5] R. E. Hartwig: Drazin inverses and canonical forms in $M_n (Z/h)$.Lin. Alg. and Appl. 37 (1981), 205-233. MR 0636223, 10.1016/0024-3795(81)90181-6
Reference: [6] R. E. Hartwig F. J. Hall: Pseudo-similarity for matrices over a field.Proc. of AMS, 71 (1978), 6-10. MR 0573006
Reference: [7] R. E. Hartwig J. Luh: A note on the group structure of unit regular ring elements.Pacific J. of Math. 71 (1977), 449-461. MR 0442018, 10.2140/pjm.1977.71.449
Reference: [8] R. E. Hartwig M. S. Putcha: Semi-similarity for matrices over a divison ring.Lin. Alg. and Appl. 39 (1981), 125-132. MR 0625243, 10.1016/0024-3795(81)90296-2
Reference: [9] M. Henriksen: On a class of regular rings that are elementary divisor rings.Archiv der Mathematik. 24 (1973), 133-141. Zbl 0257.16015, MR 0379574, 10.1007/BF01228189
Reference: [10] M. Newman: Integral matrices.Academic Press, New York, (1972). Zbl 0254.15009, MR 0340283
Reference: [11] E. D. Sontag: On generalized inverses of polynomial and other matrices.IEEE Trans. Automat. Contr. 25 (1980), 514-517. Zbl 0447.15003, MR 0571759, 10.1109/TAC.1980.1102377
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