Geodesic
Equivalence of von Neumann regular and idempotent matrices
Czechoslovak Mathematical Journal, Tome 41 (1991) no. 1, pp. 44-50

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MR Zbl
DOI : 10.21136/CMJ.1991.102430
Classification : 15A21, 16E50, 16S50 
Huylebrouck, Dirk. Equivalence of von Neumann regular and idempotent matrices. Czechoslovak Mathematical Journal, Tome 41 (1991) no. 1, pp. 44-50. doi: 10.21136/CMJ.1991.102430
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[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

[2] D. Handelman: Perspectivity and Cancellation in Regular Rings. Journal of Algebra 48, 1-16 (1977). | DOI | MR | Zbl

[3] M. Henriksen: On a class of regular rings that are elementary divisor rings. Arch. Math. 24, 133-141 (1973). | DOI | MR | Zbl

[4] D. Huylebrouck, J. Van Geel: Diagonalization of Idempotent Matrices. Journal of Algebra, Vol 105, no 1 January (1987). | DOI | MR

[5] N. Jacobson: Some remarks on one-sided inverses. Proc. Amer. Math. Soc. 1, 352-355 (1950). | DOI | MR | Zbl

[6] A. V. Jategaonkar: Left Principal Ideal Rings. Lecture Notes in Mathematics 123, Springer, Berlin-New York (1970). | MR | Zbl

[7] L. S. Levy, J. C. Robson: Matrices and Pairs of Modules. Journal of Algebra 29, 427-454 (1974). | DOI | MR | Zbl

[8] R. Puystjens, J. Van Geel: On the Diagonalization of von Neumann Regular Matrices. Acta Universitatis Carolinae - Mathematica et Physica Vol. 26 (1985). | MR

[9] G. S. Rinehart: Note on the global dimension of certain rings. Proc. Amer. Math. Soc. 13, 341-346(1962). | MR

[10] A. Steger: Diagonability of Idempotent Matrices. Pac. Journal of Math. 19 nr. 3, 535-542 (1966). | DOI | MR

[11] R. B. Warfield, Jr.: Stable Equivalence of Matrices and Resolutions. Communications in Algebra, 6 (17, 1811-1828 (1978). | DOI | MR | Zbl

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