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Invertible Matrices over Finite Additively Idempotent Semirings |
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| Authors: | Andreas Kendziorra Stefan E. Schmidt Jens Zumbrägel |
| Affiliation: | 1. Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland 2. Institut für Algebra, Fachrichtung Mathematik, Technische Universit?t Dresden, 01062, Dresden, Germany |
| Abstract: | We investigate invertible matrices over finite additively idempotent semirings. The main result provides a criterion for the invertibility of such matrices. We also give a construction of the inverse matrix and a formula for the number of invertible matrices. |
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