| Title:
|
Equivalence of von Neumann regular and idempotent matrices (English) |
| Author:
|
Huylebrouck, Dirk |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
44-50 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A21 |
| MSC:
|
16E50 |
| MSC:
|
16S50 |
| idZBL:
|
Zbl 0801.15003 |
| idMR:
|
MR1087620 |
| DOI:
|
10.21136/CMJ.1991.102430 |
| . |
| Date available:
|
2008-06-09T15:36:35Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102430 |
| . |
| Reference:
|
[1] F. J. Hall R. E. Hartwig I. J. Katz D. C. Newman: Pseudosimilarity and Partial Unit Regularity.Czechoslovak Mathematical Journal, 33 (108), Praha (1983). MR 0718921 |
| Reference:
|
[2] D. Handelman: Perspectivity and Cancellation in Regular Rings.Journal of Algebra 48, 1-16 (1977). Zbl 0363.16009, MR 0447329, 10.1016/0021-8693(77)90289-7 |
| Reference:
|
[3] M. Henriksen: On a class of regular rings that are elementary divisor rings.Arch. Math. 24, 133-141 (1973). Zbl 0257.16015, MR 0379574, 10.1007/BF01228189 |
| Reference:
|
[4] D. Huylebrouck, J. Van Geel: Diagonalization of Idempotent Matrices.Journal of Algebra, Vol 105, no 1 January (1987). MR 0871753, 10.1016/0021-8693(87)90186-4 |
| Reference:
|
[5] N. Jacobson: Some remarks on one-sided inverses.Proc. Amer. Math. Soc. 1, 352-355 (1950). Zbl 0037.15901, MR 0036223, 10.1090/S0002-9939-1950-0036223-1 |
| Reference:
|
[6] A. V. Jategaonkar: Left Principal Ideal Rings.Lecture Notes in Mathematics 123, Springer, Berlin-New York (1970). Zbl 0192.37901, MR 0263850 |
| Reference:
|
[7] L. S. Levy, J. C. Robson: Matrices and Pairs of Modules.Journal of Algebra 29, 427-454 (1974). Zbl 0282.16001, MR 0340337, 10.1016/0021-8693(74)90079-9 |
| Reference:
|
[8] R. Puystjens, J. Van Geel: On the Diagonalization of von Neumann Regular Matrices.Acta Universitatis Carolinae - Mathematica et Physica Vol. 26 (1985). MR 0830269 |
| Reference:
|
[9] G. S. Rinehart: Note on the global dimension of certain rings.Proc. Amer. Math. Soc. 13, 341-346(1962). MR 0137747 |
| Reference:
|
[10] A. Steger: Diagonability of Idempotent Matrices.Pac. Journal of Math. 19 nr. 3, 535-542 (1966). MR 0202754, 10.2140/pjm.1966.19.535 |
| Reference:
|
[11] R. B. Warfield, Jr.: Stable Equivalence of Matrices and Resolutions.Communications in Algebra, 6 (17, 1811-1828 (1978). Zbl 0389.16008, MR 0508083, 10.1080/00927877808822323 |
| . |
