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Invertible and nilpotent matrices over antirings

✍ Scribed by David Dolžan; Polona Oblak

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
125 KB
Volume
430
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES

On nilpotent matrices over antirings
On nilpotent matrices over antirings
✍ Yijia Tan 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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

On nilpotent subsemigroups of the matrix
On nilpotent subsemigroups of the matrix semigroup over an antiring
✍ Yi-Jia Tan 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 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