Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498241 | Linear Algebra and its Applications | 2005 | 11 Pages |
Abstract
A class of sufficient conditions is given to ensure that the sum a + b in a ring R, is equivalent to a sum x + y, which is an orthogonal Pierce decomposition. This is then used to show that a lower triangular matrix, with a regular diagonal is equivalent to its diagonal iff the matrix admits a lower triangular von Neumann inverse.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
R.E. Hartwig, P. PatrÃcio, R. Puystjens,