Geodesic
Boolean Near-Rings
Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 265-273

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

In this paper we introduce the concept of Boolean near-rings. Using any Boolean ring with identity, we construct a class of Boolean near-rings, called special, and determine left ideals, ideals, factor near-rings which are Boolean rings, isomorphism classes, and ideals which are near-ring direct summands for these special Boolean near-rings.Blackett [6] discusses the near-ring of affine transformations on a vector space where the near-ring has a unique maximal ideal. Gonshor [10] defines abstract affine near-rings and completely determines the lattice of ideals for these near-rings. The near-ring of differentiable transformations is seen to be simple in [7], For near-rings with geometric interpretations, see [1] or [2]. 
Clay, James R.; Lawver, Donald A. Boolean Near-Rings. Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 265-273. doi: 10.4153/CMB-1969-033-7
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