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math.RA2012
Finite simple additively idempotent semirings
Andreas Kendziorra, Jens Zumbrägel
Since for the classification of finite (congruence-)simple semirings it remains to classify the additively idempotent semirings, we progress on the characterization of finite simpl…
math.RA2011
Invertible matrices over finite additively idempotent semirings
Andreas Kendziorra, Stefan E. Schmidt, Jens Zumbrägel
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 construc…