✦ LIBER ✦

Maximum order-index of matrices over commutative inclines: an answer to an open problem

✍ Scribed by Song-Chol Han; Hong-Xing Li

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 134 KB
Volume: 420
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2006.02.044

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✦ Synopsis

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 M n (L)", proposed by Cao, Kim and Roush in a monograph Incline Algebra and Applications, 1984, where M n (L) is the set of all n × n matrices over an incline L.