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Functional identities on matrix algebras
- Source :
- Algebras and representation theory, 18 (5
- Publication Year :
- 2015
-
Abstract
- Complete solutions of functional identities $\sum_{k\in K}F_k(\bar{x}_m^k)x_k = \sum_{l\in L}x_lG_l(\bar{x}_m^l)$ on the matrix algebra $M_n(\mathbb{F})$ are given. The nonstandard parts of these solutions turn out to follow from the Cayley-Hamilton identity.<br />Comment: 20 pages, comments welcome, version 2- applications have been added
- Subjects :
- Discrete mathematics
Mathematics(all)
General Mathematics
Algèbre linéaire et matricielle
Generalized polynomial identities
Mathematics - Rings and Algebras
Matrix algebra
Combinatorics
Matrix (mathematics)
Identity (mathematics)
Syzygies
Cayley-Hamilton theorem
Functional identities
Gröbner bases
Cayley–Hamilton theorem
Algèbre commutative et algèbre homologique
Mathematics
Subjects
Details
- Language :
- French
- Database :
- OpenAIRE
- Journal :
- Algebras and representation theory, 18 (5
- Accession number :
- edsair.doi.dedup.....fecd6880d72e1ffdaf0b94d7d0244587