Determinant preserving maps on matrix algebras

By G. Dolinar, Peter Semrl. 2002

57 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b0f214a684afd1794b9eba9d87668d7aab9df500

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. J. Chan
2. Nung-Sing Sze
3. Chi-Kwong Li
4. Osamu Hatori
5. Takeshi Miura
6. Hiroyuki Takagi
7. Y. Estaremi
8. Michiya Mori

In Geometry and Topology

1. J. Chan
2. Nung-Sing Sze
3. Chi-Kwong Li
4. Osamu Hatori
5. Takeshi Miura
6. Hiroyuki Takagi

Citations in the corpus

• Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative (2007, background): “Quite recently the Frobenius theorem on determinant-preserving maps on matrix algebras [8] is also generalized in this direction (see [5,6,21,23]).”
• Mappings on matrices: invariance of functional values of matrix products (2006, background): “and particular attention is on the cases when T = {1} or {-1}; see [2, 4, 5, 8, 16].”