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期刊论文
Maximum order-index of matrices over commutative inclines: An answer to an open problem
Linear Algebra and its Applications 420(2007)228-234,-0001,():
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 ofMn(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.
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