On invertible matrices over antirings
β Scribed by Yijia Tan
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 206 KB
- Volume
- 423
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
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
Characterizations are given for existence of the Drazin inverse of a matrix over an arbitrary ring. Moreover, the Drazin inverse of a product P AQ for which there exist a P and Q such that P P A = A = AQQ can be characterized and computed. This generalizes recent results obtained for the group inver