| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602250 | Linear Algebra and its Applications | 2009 | 4 Pages |
Abstract
Let F be a field, char(F)≠2, and S⊆GLn(F), where n is a positive integer. In this paper we show that if for every distinct elements x,y∈S, x+y is singular, then S is finite. We conjecture that this result is true if one replaces field with a division ring.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
