- Look up
Abelian or
abelian in Wiktionary, the free dictionary.
Abelian may
refer to:
Abelian group, a
group in
which the
binary operation is commutative...
- In mathematics, an
abelian group, also
called a
commutative group, is a
group in
which the
result of
applying the
group operation to two
group elements...
- Look up
abelian or
Abelian in Wiktionary, the free dictionary. Non-
abelian or
nonabelian may
refer to: Non-
abelian group, in mathematics, a
group that...
- The
motivating prototypical example of an
abelian category is the
category of
abelian groups, Ab.
Abelian categories are very
stable categories; for...
- in
algebraic geometry,
complex analysis and
algebraic number theory, an
abelian variety is a
smooth projective algebraic variety that is also an algebraic...
- In
abstract algebra, an
abelian extension is a
Galois extension whose Galois group is
abelian. When the
Galois group is also cyclic, the
extension is...
- pre-
abelian category is an
additive category that has all
kernels and cokernels.
Spelled out in more detail, this
means that a
category C is pre-
abelian if:...
- In
abstract algebra, an
abelian group ( G , + ) {\displaystyle (G,+)} is
called finitely generated if
there exist finitely many
elements x 1 , … , x s...
- In mathematics, an
abelian surface is a 2-dimensional
abelian variety. One-dimensional
complex tori are just
elliptic curves and are all algebraic, but...
- is
abelian. Equivalently, a
group G is
metabelian if and only if
there is an
abelian normal subgroup A such that the
quotient group G/A is
abelian. Subgroups...
