Additive rank-one preserving surjections on symmetric matrix spaces

التفاصيل البيبلوغرافية
العنوان: Additive rank-one preserving surjections on symmetric matrix spaces
المؤلفون: Xian Zhang, Chongguang Cao
المصدر: Linear Algebra and its Applications. 362:145-151
بيانات النشر: Elsevier BV, 2003.
سنة النشر: 2003
مصطلحات موضوعية: Discrete mathematics, Invertibility preserver, Numerical Analysis, Pure mathematics, Additive surjections, Algebra and Number Theory, Rank (linear algebra), Characteristic polynomial preserver, Symmetric matrix, Field, Field (mathematics), Determinant preserver, Discrete Mathematics and Combinatorics, Rank-one preserver, Geometry and Topology, Bijection, injection and surjection, Characteristic polynomial, Mathematics
الوصف: We characterize additive rank-one preserving surjections on symmetric matrix spaces over a field of characteristic not 2 or 3. As applications, the invertibility preservers, the determinant preservers and characteristic polynomial preservers have been characterized.
تدمد: 0024-3795
DOI: 10.1016/s0024-3795(02)00494-9
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdd495a9ee22c3802feae85495ce160e
https://doi.org/10.1016/s0024-3795(02)00494-9
Rights: OPEN
رقم الانضمام: edsair.doi.dedup.....bdd495a9ee22c3802feae85495ce160e
قاعدة البيانات: OpenAIRE
الوصف
تدمد:00243795
DOI:10.1016/s0024-3795(02)00494-9