Geodesic
Near-Ring Homomorphisms
Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 35-41

Voir la notice de l'article provenant de la source Cambridge University Press

Blackett [4] introduced the concepts of near-ring homomorphism and near-ring ideal. Beidleman [1] established the fundamental homomorphism theorem and the isomorphism theorems for (left) near - rings obeying the condition that 0.a = 0 for every a in the near-ring. Several others, for example [3], [5], and [7], have taken up the study of ideals. This paper takes up the study of homomorphisms of (left) near-rings not subject to the condition 0.a = 0. It is shown that such homomorphisms can be decomposed into homomorphisms of two special sub-near-rings. Conversely, conditions are sought under which homomorphisms of the two sub-near-rings may be mated to produce a homomorphism of the sub-near-ring. 
Jr, Joseph J. Malone. Near-Ring Homomorphisms. Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 35-41. doi: 10.4153/CMB-1968-005-2
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