| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4603626 | Linear Algebra and its Applications | 2007 | 7 Pages |
Abstract
This paper proves that the maximum order-index of n × n matrices over an arbitrary commutative incline equals (n − 1)2 + 1. This is an answer to an open problem “Compute the maximum order-index of a member of Mn(L)”, proposed by Cao, Kim and Roush in a monograph Incline Algebra and Applications, 1984, where Mn(L) is the set of all n × n matrices over an incline L.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
