|
|
|
|
References
|
|
| |
| 1. |
I. V. Arzhantsev, V. V. Batyrev, E. I. Bunina, E. S. Golod, A. E. Guterman, M. V. Zaitsev, A. I. Zobnin, A. A. Klyachko, V. T. Markov, A. A. Nechaev, Yu. A. Olshanskii, E. A. Porshnev, Yu. G. Prokhorov, Studencheskie olimpiady po algebre na mekhmate MGU, MTsNMO, M., 2012 |
| 2. |
A. Van Den Essen, “Magic squares and linear algebra”, Amer. Math. Monthly, 97:1 (1990), 60–62   |
| 3. |
Ch. Godsil, G. Royle, Algebraic Graph Theory, Springer-Verlag, New York, 2004 |
| 4. |
A. E. Guterman, O. V. Markova, “Commutative matrix subalgebras and length function”, Linear Algebra Appl., 430 (2009), 1790–1805    |
| 5. |
F. Kharari, Teoriya grafov, Mir, M., 1973 |
| 6. |
O. V. Markova, “O dline algebry verkhnetreugolnykh matrits”, Usp. matem. nauk, 60:5 (2005), 177–178  |
| 7. |
O. V. Markova, “Funktsiya dliny i matrichnye algebry”, Fundam prikl. matem., 17:6 (2012), 65–173 |
| 8. |
I. Murase, “Semimagic squares and non-semisimple algebras”, Amer. Math. Monthly, 64:3 (1957), 168–173 |
| 9. |
C. J. Pappacena, “An upper bound for the length of a finite-dimensional algebra”, J. Algebra, 197 (1997), 535–545 |
| 10. |
A. Paz, “An application of the Cayley-Hamilton theorem to matrix polynomials in several variables”, Linear Multilinear Algebra, 15 (1984), 161–170 |
| 11. |
L. M. Weiner, “The algebra of semimagic squares”, Amer. Math. Monthly, 62:4 (1955), 237–239 |
