Results: introduce the concept of power semirings and homomorphism and congruence relation of power semigrings,give the sufficient and necessary conditions of R suth that be power semirings,discuss the relations of homomorphism and congruence relation of power semigrings and obtain some interesting results.

The central series of a nilpotent Lie ring;

The theorems of homomorphism and isomorphism ahout fuzzy power ring and power ring are established,setting a foundation for further studying fuzzy power ring and power ring.