3 papers
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…
cs.IT2010
Network coding with modular lattices
Andreas Kendziorra, Stefan E. Schmidt
In [1], Kötter and Kschischang presented a new model for error correcting codes in network coding. The alphabet in this model is the subspace lattice of a given vector space, a cod…