| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4600522 | Linear Algebra and its Applications | 2012 | 9 Pages |
Abstract
Let A be an algebra and let f(x1,…,xd) be a multilinear polynomial in noncommuting indeterminates xi. We consider the problem of describing linear maps ϕ:A→A that preserve zeros of f. Under certain technical restrictions we solve the problem for general polynomials f in the case where A=Mn(F)We also consider quite general algebras A, but only for specific polynomials f.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
