Finitely generated object

id: finitely-generated-object-262-15276346
title: Finitely generated object
text: In category theory, a finitely generated object is the quotient of a free object over a finite set, in the sense that it is the target of a regular epimorphism from a free object that is free on a finite set. For instance, one way of defining a finitely generated group is that it is the image of a group homomorphism from a finitely generated free group.
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Finitely_generated_object
date created:
date modified: 2024-02-04T16:53:49Z
main entity: {"identifier":"Q5450412","url":"https://www.wikidata.org/entity/Q5450412"}
image:
fields total: 13
integrity: 13

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