On the generalization of asymmetry of Goursat's lemma
In this paper,according to the asymmetric version of Goursat's lemma on groups and rings,the Goursat's lemma on ideals is obtained,and the general steps for calculating the subgroups of the direct product of three cubic alternating groups and the rings of Z2×Z2 × Z2 are given.In addition,the product of a subgroup K and any subgroup G of the direct product of finite groups'properties under the corresponding Goursat decomposition is considered,and the form of ideal under the direct product of a finite number of rings is given.
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