Near-Ring Homomorphisms
Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 35-41
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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
@article{10_4153_CMB_1968_005_2,
author = {Jr, Joseph J. Malone},
title = {Near-Ring {Homomorphisms}},
journal = {Canadian mathematical bulletin},
pages = {35--41},
year = {1968},
volume = {11},
number = {1},
doi = {10.4153/CMB-1968-005-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-005-2/}
}
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