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{"type":"standard","title":"Endomorphism","displaytitle":"Endomorphism","namespace":{"id":0,"text":""},"wikibase_item":"Q1340800","titles":{"canonical":"Endomorphism","normalized":"Endomorphism","display":"Endomorphism"},"pageid":9569,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Orthogonal_projection.svg/320px-Orthogonal_projection.svg.png","width":320,"height":320},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Orthogonal_projection.svg/252px-Orthogonal_projection.svg.png","width":252,"height":252},"lang":"en","dir":"ltr","revision":"1291494992","tid":"35be34e4-365d-11f0-b1e4-a62be45034b5","timestamp":"2025-05-21T16:04:01Z","description":"Self-self morphism","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Endomorphism","revisions":"https://en.wikipedia.org/wiki/Endomorphism?action=history","edit":"https://en.wikipedia.org/wiki/Endomorphism?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Endomorphism"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Endomorphism","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Endomorphism","edit":"https://en.m.wikipedia.org/wiki/Endomorphism?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Endomorphism"}},"extract":"In mathematics, an endomorphism is a morphism from a mathematical object to itself. An endomorphism that is also an isomorphism is an automorphism. For example, an endomorphism of a vector space V is a linear map f: V → V, and an endomorphism of a group G is a group homomorphism f: G → G. In general, we can talk about endomorphisms in any category. In the category of sets, endomorphisms are functions from a set S to itself.","extract_html":"
In mathematics, an endomorphism is a morphism from a mathematical object to itself. An endomorphism that is also an isomorphism is an automorphism. For example, an endomorphism of a vector space Poprzednia Następna