isomorphism

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同构性,同构,同态性,同构作用

Definitions

n.名词 noun

1
- : the state or property of being isomorphous or isomorphic.
- : Mathematics. a one-to-one relation onto the map between two sets, which preserves the relations existing between elements in its domain.

The following table shows where isomorphism may be generally expected.
Identity, or approximate identity, of crystal form is not in itself sufficient to establish true isomorphism.
The substitution on the symbols of the operations of a group resulting from such a correspondence is called an outer isomorphism.
A subgroup of a group G, which is transformed into itself by every isomorphism of G, is called a characteristic subgroup.
Moreover, the isomorphism is simple unless for one or more operations, other than identity, the sets all remain unaltered.