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arxiv: 1112.5990 · v2 · pith:OJJ6GAUSnew · submitted 2011-12-27 · 🧮 math.RA

Invertible matrices over finite additively idempotent semirings

classification 🧮 math.RA
keywords matricesinvertibleadditivelyfiniteidempotentsemiringsconstructioncriterion
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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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