- Look up
finite,
finitely, or
finiteness in Wiktionary, the free dictionary.
Finite may
refer to:
Finite set, a set
whose cardinality (number of elements)...
-
abelian group ( G , + ) {\displaystyle (G,+)} is
called finitely generated if
there exist finitely many
elements x 1 , … , x s {\displaystyle x_{1},\dots...
-
example of a
countable group that is not
finitely generated.
Every quotient of a
finitely generated group G is
finitely generated; the
quotient group is generated...
- In mathematics,
finitely generated may
refer to:
Finitely generated object Finitely generated group Finitely generated monoid Finitely generated abelian...
-
finitely presented may
refer to:
finitely presented group finitely presented monoid finitely presented module finitely presented algebra finitely presented...
- R-module,
finite over R, or a
module of
finite type.
Related concepts include finitely cogenerated modules,
finitely presented modules,
finitely related...
-
learning theory, a
class C of
languages has
finite thickness if
every string is
contained in at most
finitely many
languages in C. This
condition was introduced...
- is the
classification of
finitely generated abelian groups which is a
specialization of the
structure theorem for
finitely generated modules over a prin****l...
-
categories are
finitely complete and
finitely cocomplete but
neither complete nor cocomplete: The
category of
finite sets The
category of
finite abelian groups...
- (respectively
finitely related,
finitely presented) if it has a
presentation that is
finitely generated (respectively
finitely related, a
finite presentation)...
