A class of congruence decomposition of an N (2,2,0)algebra was given for further study of the stabilizer. As the basis of above-motioned decomposition,the algebraic structure and properties of a class of converse images were obtained in the case of natural homomorphism.%进一步研究N（2，2，0）代数的稳定化子，利用稳定化子给出N（2，2，0）代数的一类同余分解，获得自然同态下一类逆像的代数结构和性质。
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