Finite simple additively idempotent semirings

Details Finite simple additively idempotent semirings Finite simple additively idempotent semirings

2011-12-31

arxiv.org/abs/1201.0272v1

Mathematics

Rings and Algebras

30 pages, 1 figure

Scientific paper

Since for the classification of finite (congruence-)simple semirings it remains to classify all additively idempotent semirings, we progress on the characterization of finite simple additively idempotent semirings as semirings of join-morphisms of a semilattice. We succeed in doing this for many cases, amongst others for every semiring of this kind with an additively neutral element. As a consequence we complete the classification of finite simple semirings with an additively neutral element. To complete the classification of all finite simple semirings it remains to classify some very specific semirings, which will be discussed here. Our results employ the theory of idempotent irreducible semimodules, which we develop further.

Affiliated with

Also associated with

No associations

Rating

Finite simple additively idempotent semirings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Finite simple additively idempotent semirings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite simple additively idempotent semirings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673466