对于一个集合A,A中定义一个闭合运算○,存在一个A与A之间的映射φ,若φ为一双射,且对于A内任意元素a,b都有φ(a○b)=φ(a)○φ(b)则这个映射φ 叫做一个对于○ 来说的A的自同构(automorphism)。
弱混合自同构 [数] weakly mixing automorphism
自同构的 automorphic
环的自同构 [数] automorphism of a ring
自同构对等性 automorphic equivalence
模自同构 modular automorphism ; automorphism of a module
自同构群 [数] group of automorphisms ; [数] automorphism group
内自同构 interior automorphism ; [数] inner automorphism
反自同构 anti automorphism ; opposite automorphisms
一个地图的自同构就是到它本身的一个同构。
An automorphism of a map is an isomorphism from the map to itself.
给出了一类新的试验多项式,可识别多项式代数的非线性自同构。
We can distinguish nonlinear automorphism of polynomials algebra by using the test polynomials.
确定一个群的自同构群和内自同构群的结构往往十分困难,还没有一般性的理论及方法。
It is often very difficult to identify the structure of the automorphism group and the inner automorphism group of a group, and there is no general theory and method.
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