| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598574 | Linear Algebra and its Applications | 2016 | 6 Pages |
Abstract
We characterize 3×33×3 nilpotent matrices which are completions of 2×22×2 arbitrary matrices and 3×33×3 idempotent matrices which are completions of 2×22×2 arbitrary matrices over integral domains. As an application we show that a nil-clean element of a ring which belongs to a corner of the ring, may not be nil-clean in this corner.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Grigore Călugăreanu,