Last Updated：2025/11/21

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(algebra) An isomorphism of a mathematical object or system of objects onto itself. / The ascription to others of one's own characteristics.

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automorphism

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Source Word

automorphism

Noun

Japanese Meaning

数学において、ある対象が自身と同型であること、すなわち対象の自己同型写像を指す。 / 他者に対して自分自身の特徴や性質を帰属させることを意味する。

What is this buttons?

The research paper examined how each automorphism of the algebraic structure preserves certain invariants.

Google Translation / DeepL Translation

その研究論文は、代数構造の各自己同型が特定の不変量をどのように保持するかを調べた。

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Sense（1）

(algebra) An isomorphism of a mathematical object or system of objects onto itself.

Since every linear automorphism of V fixes 0 our interest in the transitivity properties of GL(V) is confined to its action on V* = V - {0}. GL(V) is transitive on V* since any two elements of V* may be chosen as the initial members of two ordered bases; it is not in general 2-transitive because there is no linear automorphism taking an independent pair to a dependent pair.

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Sense（2）

The ascription to others of one's own characteristics.

automorphisms

（ plural ）

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automorphism

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automorphism

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