Invertible matrices over finite additively idempotent semirings

Details Invertible matrices over finite additively idempotent semirings Invertible matrices over finite additively idempotent semirings

2011-12-27

arxiv.org/abs/1112.5990v1

Mathematics

Rings and Algebras

10 pages

Scientific paper

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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