Equivalence of von Neumann regular and idempotent matrices

Dirk Huylebrouck

Czechoslovak Mathematical Journal (1991)

  • Volume: 41, Issue: 1, page 44-50
  • ISSN: 0011-4642

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Huylebrouck, Dirk. "Equivalence of von Neumann regular and idempotent matrices." Czechoslovak Mathematical Journal 41.1 (1991): 44-50. <http://eudml.org/doc/13896>.

@article{Huylebrouck1991,
author = {Huylebrouck, Dirk},
journal = {Czechoslovak Mathematical Journal},
keywords = {von Neumann regular and idempotent matrices; generalized inverse; 1- inverse; \{1,2\}-inverse},
language = {eng},
number = {1},
pages = {44-50},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Equivalence of von Neumann regular and idempotent matrices},
url = {http://eudml.org/doc/13896},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Huylebrouck, Dirk
TI - Equivalence of von Neumann regular and idempotent matrices
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 1
SP - 44
EP - 50
LA - eng
KW - von Neumann regular and idempotent matrices; generalized inverse; 1- inverse; {1,2}-inverse
UR - http://eudml.org/doc/13896
ER -

References

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  5. N. Jacobson, 10.1090/S0002-9939-1950-0036223-1, Proc. Amer. Math. Soc. 1, 352-355 (1950). (1950) Zbl0037.15901MR0036223DOI10.1090/S0002-9939-1950-0036223-1
  6. A. V. Jategaonkar, Left Principal Ideal Rings, Lecture Notes in Mathematics 123, Springer, Berlin-New York (1970). (1970) Zbl0192.37901MR0263850
  7. L. S. Levy, J. C. Robson, 10.1016/0021-8693(74)90079-9, Journal of Algebra 29, 427-454 (1974). (1974) Zbl0282.16001MR0340337DOI10.1016/0021-8693(74)90079-9
  8. R. Puystjens, J. Van Geel, On the Diagonalization of von Neumann Regular Matrices, Acta Universitatis Carolinae - Mathematica et Physica Vol. 26 (1985). (1985) MR0830269
  9. G. S. Rinehart, Note on the global dimension of certain rings, Proc. Amer. Math. Soc. 13, 341-346(1962). (1962) MR0137747
  10. A. Steger, 10.2140/pjm.1966.19.535, Pac. Journal of Math. 19 nr. 3, 535-542 (1966). (19 n) MR0202754DOI10.2140/pjm.1966.19.535
  11. R. B. Warfield, Jr., 10.1080/00927877808822323, Communications in Algebra, 6 (17, 1811-1828 (1978). (1978) Zbl0389.16008MR0508083DOI10.1080/00927877808822323

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