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Summary Of: Kernel (algebra)
Encyclodia Page On: Kernel (algebra)
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mathematics
|
abstract algebra
|
homomorphism
|
injective
|
kernel of a matrix
|
if and only if
|
injective
|
fundamental theorem on homomorphisms
|
first isomorphism theorem
|
quotient algebra
|
algebraic structures
|
universal algebra
|
Kernel (matrix)
|
vector spaces
|
linear transformation
|
zero vector
|
preimage
|
singleton set
|
subset
|
linear subspace
|
quotient space
|
naturally isomorphic
|
image
|
dimension
|
finite-dimensional
|
bases
|
matrix
|
system of linear equations
|
rank
|
rank-nullity theorem
|
homogeneous differential equations
|
differential operators
|
differentiable functions
|
real line
|
real number
|
homomorphisms
|
modules
|
ring
|
abelian groups
|
abelian categories
|
Kernel (category theory)
|
groups
|
group homomorphism
|
identity element
|
subgroup
|
normal subgroup
|
quotient group
|
naturally isomorphic
|
image
|
abelian groups
|
rings
|
unital
|
ring homomorphism
|
zero element
|
subring
|
ideal
|
quotient ring
|
naturally isomorphic
|
image
|
bimodules
|
codomain
|
Mal'cev algebras
|
monoids
|
monoid homomorphism
|
direct product
|
ordered pairs
|
function
|
equivalence relation
|
congruence relation
|
quotient monoid
|
naturally isomorphic
|
image
|
submonoid
|
universal algebra
|
algebraic structures
|
homomorphism
|
direct product
|
ordered pairs
|
function
|
equivalence relation
|
congruence relation
|
quotient algebra
|
naturally isomorphic
|
image
|
subalgebra
|
set
|
kernel of a function
|
Mal'cev algebra
|
neutral element
|
zero vector
|
vector spaces
|
identity element
|
groups
|
zero element
|
rings
|
modules
|
equivalence class
|
preimage
|
singleton set
|
subset
|
linear subspace
|
normal subgroup
|
ring ideal
|
submodule
|
modules
|
subalgebra
|
ideal
|
quotient algebra
|
quotient
|
division
|
subtraction
|
Categories
|
Algebra
|
Isomorphism theorems
|
Linear algebra
|
This article is licensed under the
GNU Free Documentation License
. It uses material from the
Wikipedia article "Kernel (algebra)"
.
