Title of article
Maximum order-index of matrices over commutative inclines: an answer to an open problem
Author/Authors
Song-Chol Han، نويسنده , , Hong-Xing Li، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
7
From page
228
To page
234
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.
Keywords
Incline matrix , Order-index , Walk , cycle , reduction , Semiring , Incline
Journal title
Linear Algebra and its Applications
Serial Year
2007
Journal title
Linear Algebra and its Applications
Record number
825410
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