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Idempotent matrices over antirings

✍ Scribed by David Dolžan; Polona Oblak

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
153 KB
Volume
431
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

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Diagonability of idempotent matrices over noncommutative rings
✍ Guangtian Song; Xuejun Guo 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 83 KB

Let R be an arbitrary ring. In this paper, the following statements are proved: (a) Each idempotent matrix over R can be diagonalized if and only if each idempotent matrix over R has a characteristic vector. (b) An idempotent matrix over R can be diagonalized under a similarity transformation if and