References

LINEAR FALSE PRESERVER PROBLEMS


[1] C. G. Cao, Linear maps preserving idempotence on matrix modules over some rings, Journal of Natural Science of Hei Long Jiang University 16(1) (1999), 1-3.

[2] C. G. Cao and X. Zhang, Linear transformations preserving Moore-Penrose inverses of matrices over fields of characteristic 3, Journal of Beihua University 1(1) (2000), 4-7.

[3] W. S. Cheung, S. Fallat and Chi-Kwong Li, Multiplicative preservers on semigroups of matrices, Linear Algebra Appl. 355 (2002), 173-186.

[4] Li-li Hao and Chong-guang Cao, Inverses-preserving linear maps of matrices, Journal of Natural Science of Hei Long Jiang University 21(03) (2004), 28-29.

[5] Wei-jun Ma and Xian Zhang, Linear group inverse preserver from symmetric matrix algebras to full matrix algebras, J. Math. 2 (2005), 130-134 (in Chinese).

[6] X. Zhang and C. G. Cao, Linear operators strongly preserving Moore-Penrose inverses of matrices over some antinegative commutative semirings, Journal of Mathematical Research Exposition 19(3) (1999), 508-514.

[7] X. Zhang, Linear tripotent matrices over commutative principal ideal domains, J. Math. 20 (2000), 23-28 (in Chinese).

[8] X. Zhang, Linear of rank between matrix spaces, Journal of Natural Science of Hei Long Jiang University 22(1) (2005), 12-15.