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单词 isomorphism
释义

isomorphism

(of rings) Suppose that (R, +,×) and (R′, ⊕, ⊗) are rings. An isomorphism between them is a one‐to‐one onto mapping f from the set R to the set R′ such that, for all a and b in R,

If there is an isomorphism between two rings, the rings are isomorphic to each other and, as with isomorphic groups, the two have essentially the same structure.

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更新时间:2025/4/29 4:41:22