The Jordan-Hölder theorem for semirings.

@article{Poyatos1980,
abstract = {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.},
author = {Poyatos, Francisco},
journal = {Revista Matemática Hispanoamericana},
keywords = {Anillos; Semigrupos; Ideales; isomorphism theorems; principal series of semirings; Jordan-Hölder theorem},
language = {eng},
number = {1-2},
pages = {49-65},
title = {The Jordan-Hölder theorem for semirings.},
url = {http://eudml.org/doc/39770},
volume = {40},
year = {1980},
}

TY - JOUR
AU - Poyatos, Francisco
TI - The Jordan-Hölder theorem for semirings.
JO - Revista Matemática Hispanoamericana
PY - 1980
VL - 40
IS - 1-2
SP - 49
EP - 65
AB - 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.
LA - eng
KW - Anillos; Semigrupos; Ideales; isomorphism theorems; principal series of semirings; Jordan-Hölder theorem
UR - http://eudml.org/doc/39770
ER -