On nilpotent matrices over antirings

@inproceedings{Tan2008OnNM,
  title={On nilpotent matrices over antirings},
  author={Yijia Tan},
  year={2008}
}
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. © 2008 Elsevier Inc. All rights reserved. AMS classification… CONTINUE READING

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