JOURNAL BROWSE
Search
Advanced SearchSearch Tips
SPANNING COLUMN RANK PRESERVERS OF INTEGER MATRICES
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Honam Mathematical Journal
  • Volume 29, Issue 3,  2007, pp.427-443
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2007.29.3.427
 Title & Authors
SPANNING COLUMN RANK PRESERVERS OF INTEGER MATRICES
Kang, Kyung-Tae; Song, Seok-Zun;
  PDF(new window)
 Abstract
The spanning column rank of an integer matrix A is the minimum number of the columns of A that span its column space. We compare the spanning column rank with column rank of matrices over the ring of integers. We also characterize the linear operators that preserve the spanning column rank of integer matrices.
 Keywords
spanning column rank;linear operator;(P,Q)-operator;
 Language
English
 Cited by
 References
1.
L. B. Beasley, D. A. Gregory and N. J. Pullman, Nonnegative rank-preserving operators, Linear Algebra Appl., 65(1985), 207-223. crossref(new window)

2.
L. B. Beasley and N. J. Pullman, Semi ring rank versus column rank, Linear Algebra Appl., 101(1988),33-48. crossref(new window)

3.
L. B. Beasley, S. Z. Song, K. T. Kang and B. K. Sarma, Column ranks and their preservers over nonnegative real matrices, Linear Algebra Appl., 399(2005), 3-16. crossref(new window)

4.
C. K. Li et al., Linear preserver problems references, Linear and Multilinear Algebra, 33(1992), 121-129.

5.
B. R. McDonald, R-linear endomorphisms of $(R)^n$ preserving invariants, Mem. Amer. Math. Soc., 46(1983) No. 287.

6.
S. Z. Song, On spanning column rank of matrices over semirings, Bull. Korean Math. Soc., 32(1995), 337-342.

7.
S. Z. Song, Linear operators that preserve maximal column ranks of nonnegative integer matrices, Proc. Amer. Math. Soc., 126(1998), 2205-2211. crossref(new window)

8.
S. Z. Song and S. G. Hwang, Spanning column ranks and their presevers of nonnegative matrices, Linear Algebra Appl., 254(1997), 485-495. crossref(new window)