The object of this paper is to prove the Green and Jordan-Hölder theorems in semirings. We follow Rees [11], Green [5], Clifford and Preston [2]. This work is similar to [7] and generalizes [8] and [9]. Although some proofs are parallel to those for semigroups, we explain them here to obtain a complete and self-contained exposition.
@article{urn:eudml:doc:39770,
title = {The Jordan-H\"older theorem for semirings.},
journal = {Revista Matem\'atica Hispanoamericana},
volume = {40},
year = {1980},
pages = {49-65},
zbl = {0504.16026},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39770}
}
Poyatos, Francisco. The Jordan-Hölder theorem for semirings.. Revista Matemática Hispanoamericana, Tome 40 (1980) pp. 49-65. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39770/