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On nilpotency of matrices over antirings

✍ Scribed by Yi-Jia Tan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
222 KB
Volume
433
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

On nilpotent matrices over antirings
On nilpotent matrices over antirings
✍ Yijia Tan πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 153 KB

In this paper, the nilpotent matrices over commutative antirings are characterized in terms of principal permanental minors, main diagonals and permanental adjoint matrices, and a necessary and sufficient condition for a nilpotent matrix over a commutative antiring which has a given nilpotent index

Idempotent matrices over antirings
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On nilpotent subsemigroups of the matrix
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✍ Yi-Jia Tan πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 278 KB

In this paper, nilpotent subsemigroups in the matrix semigroup over a commutative antiring are discussed. Some basic properties and characterizations for the nilpotent subsemigroups are given, and some equivalent conditions for the matrix semigroup over a commutative antiring to have a maximal nilpo

On the nilpotent matrices over D01-latti
On the nilpotent matrices over D01-lattice
✍ Kun-Lun Zhang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 85 KB

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 ni