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In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (that preserve the identity). Like many categories in mathematics, the category of rings is large, meaning that the class of all rings is proper.

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rdf:type	yago:WikicatCategory-theoreticCategories yago:Abstraction100002137 yago:Class107997703 yago:Collection107951464 yago:Group100031264 television station
rdfs:label	Category of rings (en) Categoría de anillos (es) Kategori gelanggang (in) Catégorie des anneaux (fr) 環の圏 (ja) Categorie van ringen (nl)
rdfs:comment	In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (that preserve the identity). Like many categories in mathematics, the category of rings is large, meaning that the class of all rings is proper. (en) En mathématiques, la catégorie des anneaux est une construction qui rend compte abstraitement des propriétés des anneaux en algèbre. Dans ce contexte, « anneau » signifie toujours anneau unitaire. (fr) En matemáticas específicamente en teoría de categorías la categoría de anillos denotada por Ring es la categoría cuyos objetos son los anillos y cuyos morfismos son los homomorfismos de anillos (que preservan el elemento identidad). La clase de todos los objetos en Ring es una clase propia. * Datos: Q5051859 (es) Dalam matematika, kategori gelanggang, dilambangkan dengan Gelanggang, adalah kategori yang objeknya adalah gelanggang (dengan identitas) dan yang adalah (yang melestarikan identitas). Seperti banyak kategori dalam matematika, kategori gelanggang adalah besar, yang berarti bahwa kelas dari semua cincin adalah . (in) 数学の特に圏論における（単位的・結合）環の圏（かんのけん、英: category of rings）Ring は、すべての（単位元持つ）環を対象とし、すべての（単位元を保つ）環準同型を射とする圏である。他の多くの例と同じく、環の圏は大きい（すなわち、すべての環の成す類は集合でない真の類である）。 (ja) In de ringtheorie en de categorietheorie, deelgebieden van de wiskunde, is de categorie van ringen aangeduid door Ring, de categorie, waarvan de objecten ringen (met identiteit) zijn en waar de morfismen, die de identiteit bewaren, ringhomomorfismen zijn. Zoals vele categorieën in de wiskunde, is de categorie van ringen "groot", wat wil zeggen dat de klasse van alle ringen is. (nl)
dct:subject	Ring theory Categories in category theory
Wikipage page ID	15300181 (xsd:integer)
Wikipage revision ID	1111691821 (xsd:integer)
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