free object
a “generic” algebraic structure over the given set, fulfilling no other equations except those given by the defining axioms
free abelian group
commutative group whose elements are unique integer combinations of basis elements
free group
free object in the category of groups; a group admitting a presentation without any relations
polynomial ring
algebraic structure
free Lie algebra
free object in the category of Lie algebras
free Boolean algebra
free object in the category of Boolean algebras
free algebra
free object in the category of associative algebras
free monoid
concept in mathematics
free module
in algebra, a module that has a basis
free category
category generated from a quiver by from freely concatenating arrows together, whenever the target of one arrow is the source of the next