Finitely generated right ideals of transformation near-rings

Abstract

If V is an additive group, M 0 ( V ) {M_0}(V) the near-ring of zero-fixing maps of V into V, then the finitely generated right ideals of M 0 ( V ) {M_0}(V) are easily characterised. These are just the annihilators of subsets of V. Moreover, finitely generated right ideals of M 0 ( V ) {M_0}(V) are generated by a single element.