Linear maps preserving the Cullis’ determinant. III
Abstract
Abstract This paper is the third in the series of papers devoted to the explicit description of linear maps preserving the Cullis’ determinant of rectangular matrices of size n × k with entries belonging to an arbitrary ground field which is large enough. In this part we study the remaining case where k = 3 and n ≥ k + 2 = 5 and prove that every linear map preserving the Cullis’ determinant admits the same description as for the case where k ≥ 4 and n ≥ k + 2 obtained previously.
Fields of Study & Subjects
Advanced Topics in Algebra
Advanced Differential Equations and Dynamical Systems
Matrix Theory and Algorithms
Publication details
- Journal / source
- Special Matrices
- Publisher
- Walter de Gruyter GmbH
- Volume
- 14
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN