Antihomomorphism (original) (raw)
In mathematics, an antihomomorphism is a type of function defined on sets with multiplication that reverses the order of multiplication. An antiautomorphism is a bijective antihomomorphism, i.e. an antiisomorphism, from a set to itself. From bijectivity it follows that antiautomorphisms have inverses, and that the inverse of an antiautomorphism is also an antiautomorphism.
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| dbo:abstract | In mathematics, an antihomomorphism is a type of function defined on sets with multiplication that reverses the order of multiplication. An antiautomorphism is a bijective antihomomorphism, i.e. an antiisomorphism, from a set to itself. From bijectivity it follows that antiautomorphisms have inverses, and that the inverse of an antiautomorphism is also an antiautomorphism. (en) In der Mathematik ist ein Antihomomorphismus eine Funktion, die auf zwei Mengen mit jeweils einer zweistelligen Verknüpfung definiert ist und die die Reihenfolge der Operanden umkehrt. Ein Antiisomorphismus ist ein bijektiver Antihomomorphismus. Ein Antiendomorphismus ist ein Antihomomorphismus, bei dem Definitionsmenge und Zielmenge übereinstimmen. Ein Antiautomorphismus ist ein Antiisomorphismus, der gleichzeitig Antiendomorphismus ist. (de) En mathématiques, un antimorphisme (parfois appelé antihomomorphisme), est une application entre deux structures algébriques qui renverse l'ordre des opérations. (fr) Em matemática, um anti-homomorfismo é um tipo de função definida sobre conjuntos com multiplicação que inverte a ordem da multiplicação. Um antiautomorfismo é um anti-homomorfismo que tem um inverso como um anti-homomorfismo; este coincide com ele sendo uma bijeção de um objeto sobre si mesmo. (pt) Antyhomomorfizm – funkcja określona na zbiorach z określonym na nich działaniem mnożenia odwracająca jego porządek; homomorfizm odwracający porządek mnożenia. Antyautomorfizm – antyhomomorfizm będący zarazem przekształceniem wzajemnie jednoznacznym obiektu na siebie. (pl) |
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| dbp:title | Antihomomorphism (en) |
| dbp:urlname | Antihomomorphism (en) |
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| rdfs:comment | In mathematics, an antihomomorphism is a type of function defined on sets with multiplication that reverses the order of multiplication. An antiautomorphism is a bijective antihomomorphism, i.e. an antiisomorphism, from a set to itself. From bijectivity it follows that antiautomorphisms have inverses, and that the inverse of an antiautomorphism is also an antiautomorphism. (en) In der Mathematik ist ein Antihomomorphismus eine Funktion, die auf zwei Mengen mit jeweils einer zweistelligen Verknüpfung definiert ist und die die Reihenfolge der Operanden umkehrt. Ein Antiisomorphismus ist ein bijektiver Antihomomorphismus. Ein Antiendomorphismus ist ein Antihomomorphismus, bei dem Definitionsmenge und Zielmenge übereinstimmen. Ein Antiautomorphismus ist ein Antiisomorphismus, der gleichzeitig Antiendomorphismus ist. (de) En mathématiques, un antimorphisme (parfois appelé antihomomorphisme), est une application entre deux structures algébriques qui renverse l'ordre des opérations. (fr) Em matemática, um anti-homomorfismo é um tipo de função definida sobre conjuntos com multiplicação que inverte a ordem da multiplicação. Um antiautomorfismo é um anti-homomorfismo que tem um inverso como um anti-homomorfismo; este coincide com ele sendo uma bijeção de um objeto sobre si mesmo. (pt) Antyhomomorfizm – funkcja określona na zbiorach z określonym na nich działaniem mnożenia odwracająca jego porządek; homomorfizm odwracający porządek mnożenia. Antyautomorfizm – antyhomomorfizm będący zarazem przekształceniem wzajemnie jednoznacznym obiektu na siebie. (pl) |
| rdfs:label | Antihomomorphism (en) Antihomomorphismus (de) Antimorphisme (fr) Antyhomomorfizm (pl) Anti-homomorfismo (pt) |
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