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Complete answer to an interval splitting problem

โœ Scribed by Gerold Alsmeyer


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
173 KB
Volume
12
Category
Article
ISSN
0167-7152

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This paper proves that the maximum order-index of nร—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, 198