Quadratic transformations on matrices: Rank preservers

Journal of Algebra

Volumn 179, Issue 2, 1996, Pages 549-569

  Watkins, William ^a  

^a CALIFORNIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030584020     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.0024     Document Type: Article

References (8)

1. 1. E. Arbarello, M. Cornalba, P. A. Griffiths, and J. Harris, "Geometry of Algebraic Curves," Vol. I, Springer-Verlag, New York, 1985.
2. 2. E. Artin, "Geometric Algebra," Interscience, New York, 1957.
3. 3. R. Hartshorne, "Algebraic Geometry," Springer-Verlag, New York, 1977.
4. 4. M. H. Lim, Rank and tensor rank preserves, Linear and Multilinear Algebra 33 (1992), 7-21.
5. 5. M. Marcus and B. Moyls, Transformations on tensor product spaces, Pacific J. Math. 9 (1959), 1215-1221.
6. 6. O. T. O'Meara, "Introduction to Quadratic Forms," Academic Press, New York, 1963.
7. 7. S. Pierce, Algebraic sets, polynomials, and other functions, Linear and Multilinear Algebra 33 (1992), 31-52.
8. 8. R. Westwick, Transformations on tensor spaces, Pacific J. Math. 23 (1967), 613-620.