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On the nilpotent matrices over D01-lattice

✍ Scribed by Kun-Lun Zhang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 85 KB
Volume: 117
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(98)00270-x

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✦ Synopsis

In this paper we study nilpotent matrices over D01-lattice (a distributive lattice L is said to be D01-lattice if 0; 1 ∈ L and 06x61 for all x ∈ L). A necessary and su cient condition for a D01-lattice matrix A to be a nilpotent matrix will be given. We also establish some important properties of nilpotent matrices.

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