Geodesic
On Injective Near-Ring Modules
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 137-141

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

Let N be a left near ring and let M be a right N-module. We recall [1] that M is called injective iff every diagram can be embedded into a commutative diagram where A and B are right N-modules with exact.The purpose of this note is to show that if N is a d.g. near-ring with identity, then M is injective iff for every right ideal u of N and every N-homomorphism f:u→N, there exists an element m in M such that f(a)=ma for all a in u. 
Seth, V.; Tewari, K. On Injective Near-Ring Modules. Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 137-141. doi: 10.4153/CMB-1974-030-2
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[1] 1. Maxson, Carlton J., Dickson near-rings, J. Algebra 14 (1970), 152-169. Google Scholar

[2] 2. Beidleman, J. C., Quasi-regularity in near-rings, Math, Z. 89 (1965), 224-229. Google Scholar

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