Free object
id:
free-object-171-1720648
title:
Free object
text:
In mathematics, the idea of a free object is one of the basic concepts of abstract algebra. Informally, a free object over a set A can be thought of as being a "generic" algebraic structure over A: the only equations that hold between elements of the free object are those that follow from the defining axioms of the algebraic structure. Examples include free groups, tensor algebras, or free lattices. The concept is a part of universal algebra, in the sense that it relates to all types of algebrai
brand slug:
wiki
category slug:
encyclopedia
description:
Left adjoint to a forgetful functor to sets
original url:
https://en.wikipedia.org/wiki/Free_object
date created:
2003-10-03T14:55:28Z
date modified:
2024-09-01T04:56:54Z
main entity:
{"identifier":"Q5500272","url":"https://www.wikidata.org/entity/Q5500272"}
image:
fields total:
13
integrity:
15