Transformations of non-negative integer-valued matrices that preserve the determinant
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 58 (2003) no. 6, pp. 1200-1201
@article{RM_2003_58_6_a8,
author = {A. \`E. Guterman},
title = {Transformations of non-negative integer-valued matrices that preserve the determinant},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {1200--1201},
year = {2003},
volume = {58},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2003_58_6_a8/}
}
TY - JOUR AU - A. È. Guterman TI - Transformations of non-negative integer-valued matrices that preserve the determinant JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2003 SP - 1200 EP - 1201 VL - 58 IS - 6 UR - http://geodesic.mathdoc.fr/item/RM_2003_58_6_a8/ LA - en ID - RM_2003_58_6_a8 ER -
A. È. Guterman. Transformations of non-negative integer-valued matrices that preserve the determinant. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 58 (2003) no. 6, pp. 1200-1201. http://geodesic.mathdoc.fr/item/RM_2003_58_6_a8/
[1] G. Frobenius, Über die Darstellung der endlichen Gruppen durch lineare Substitutionen, Sitzungsber, Preuss. Akad. Wiss. Berlin, Berlin, 1897, 994–1015
[2] A. Guterman, Linear and Multilinear Algebra, 48:4 (2001), 293–311 | DOI | MR | Zbl
[3] C.-K. Li, S. Pierce, N.-K. Tsing (Eds.), A Survey of Linear Preserver Problems, Linear and Multilinear Algebra, 33. No. 1–2 (Special issues), Taylor Francis, 1992 | MR
[4] K. Głazek, A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences, Kluwer, Dordrecht, 2002 | MR
[5] L. B. Beasley, N. J. Pullman, Linear Algebra Appl., 90 (1987), 33–46 | DOI | MR | Zbl