Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498417 | Linear Algebra and its Applications | 2005 | 13 Pages |
Abstract
We show that there are four different lattice orders on a 2Â ÃÂ 2 triangular matrix algebra over a totally ordered field to make it into a lattice-ordered algebra in which the identity matrix is positive. A general method is also given to construct lattice orders in which the identity matrix is not positive.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Walter Bradley, Jingjing Ma,