Boolean near-rings and weak commutativity

Journal of the Australian Mathematical Society

D. J. Hansen¹ 

[1] Jiang Luh

关键词: primary 16 A 76;    secondary 06 E 20;    16 A 30;    16 A 32;   

DOI  :  10.1017/S1446788700031256

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

It is shown that every boolean right near-ring R is weakly commutative, that is, that xyz = xzy for each x, y, z ∈ R. In addition, an elementary proof is given of a theorem due to S. Ligh which states that a d.g. boolean near-ring is a boolean ring. Finally, a characterization theorem is given for a boolean near-ring to be isomorphic to a particular collection of functions which form a boolean near-ring with respect to the customary operations of addition and composition of mappings.

【 授权许可】

Unknown