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On invertible matrices over antirings

✍ 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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πŸ“œ SIMILAR VOLUMES


On nilpotent matrices over antirings
✍ Yijia Tan πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 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

Idempotent matrices over antirings
✍ David DolΕΎan; Polona Oblak πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 153 KB
Drazin invertibility for matrices over a
✍ R. Puystjens; M.C. Gouveia πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 190 KB

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