Article ID Journal Published Year Pages File Type
9498417 Linear Algebra and its Applications 2005 13 Pages PDF
Abstract
We show that there are four different lattice orders on a 2 × 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
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