The Jacobson radical of edomorphism rings of totally projective groups of finite type.
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.
We give a new proof of the main result of [1] which does not use the classification of the finite simple groups.