英语词汇“automorphism”的英英意思、用法、释义、翻译、读音、例句、短语、词组、英语词典-本地帮

单词

automorphism

释义

autoˈmorphism
1. The ascription of one's own characteristics to another.
1873H. Spencer Stud. Sociol. vi. 117 Our interpretations must be automorphic; and yet automorphism perpetually misleads us.
2. Math. (See quots.)
1903Science 5 June 904 Class of a group and degree of transitivity, automorphism, representation, index notation.1955L. Mirsky Introd. Linear Algebra iv. 125 An automorphism of a linear manifold 𝔐 is an isomorphism of 𝔐 with itself.Ibid., A linear transformation of a finite-dimensional linear manifold onto itself is an automorphism.1959M. Hall Theory of Groups vi. 86 The automorphism group A (C) is cyclic.1959G. & R. C. James Math. Dict. 221/1 An isomorphism of a set with itself is an automorphism. An automorphism of a group is an inner automorphism if there is an element t such that x corresponds to x* if and only if x* = t^-1 xt; it is an outer automorphism if it is not an inner automorphism.1965J. J. Rotman Theory of Groups iv. 76 Definition. A homomorphism f:G → G is called an endomorphism of G; an isomorphism f:G → G is called an automorphism of G.

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