| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601796 | Linear Algebra and its Applications | 2010 | 8 Pages |
Abstract
Given an arbitrary field K, we reduce the determination of the singular endomorphisms f of Mn(K) such that f(GLn(K))⊂GLn(K) to the classification of n-dimensional division algebras over K. Our method, which is based upon Dieudonné’s theorem on singular subspaces of Mn(K), also yields a proof for the classical non-singular case.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
