𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On nilpotent matrices over antirings

✍ Scribed by Yijia Tan

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
153 KB
Volume
429
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

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 is obtained. Also, a method for calculating the nilpotent index of any nilpotent matrix over a commutative entire antiring is given.

πŸ“œ SIMILAR VOLUMES

Idempotent matrices over antirings
Idempotent matrices over antirings
✍ David DolΕΎan; Polona Oblak πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 153 KB
On nilpotent subsemigroups of the matrix
On nilpotent subsemigroups of the matrix semigroup over an antiring
✍ 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