The Properties of Weak Ring

Feng Ming-jun · 2005

The rewritten distributive law in the definition of ring is: for all elements x,y,z,there are elements e_1,e_2 with x(y+z)=xy+xz-e_1 and(y+z)x=yx+zx-e_2,then this defined algebraic system is called weak ring.This paper states some properties of weak ring,builds the relationship between weak ring and ring and draws some conclusion as well.

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