Endomorphism
otheruses4 the mathematical concept the endomorphic body type Somatotype In mathematics , an endomorphism is a morphism or homomorphism from a mathematical object to itself. For example, an endomorphism ..
Endomorphism ring
In abstract algebra , one associates to certain objects a ring mathematics ring , the object s endomorphism ... of abelian group s. Suppose A is an abelian group. As the name suggests, the elements of the endomorphism ..
Frobenius endomorphism
, the Frobenius endomorphism after Ferdinand Georg Frobenius is a special endomorphism of Ring mathematics .... The endomorphism maps every element to its p th power. In certain contexts it is an automorphism ..
Adjoint endomorphism
In mathematics , the adjoint endomorphism or adjoint action is an endomorphism of Lie algebra s that plays ... g math as the endomorphism math textrm ad x mathfrak g to mathfrak g math with math textrm ad x y ..
Endomorphic
Endomorph , endomorphic , and endomorphism can refer to One of the three somatotype s, or animal body types, that contains high body fat, and that gains weight easily also ectomorphic and mesomorphic Endomorphism ..
Retract (group theory)
if there is an endomorphism of the group that maps surjective ly to the subgroup and is identity on the subgroup. In symbols, math H math is a retract of math G math if and only if there is an endomorphism ..
Dixmier conjecture
the endomorphism endomorphisms of a Weyl algebra . Statement The Dixmier conjecture states that any endomorphism of a Weyl algebra is an automorphism . It has been shown that the Dixmier conjecture ..
Arithmetic and geometric Frobenius
In mathematics , the Frobenius endomorphism is defined in any commutative ring R that has characteristic ... sup p sup is a ring endomorphism of R . The image of ? is then R sup p sup , the subring of R consisting ..
Category of magmas endomorphism can be extended to an automorphism of a magma algebraic extension extension , just the colimit of the constant sequence of the endomorphism . Category Category theoretic categories Magmas ..
Category of medial magmas
s being the right projection s x , y &rarr y . An injective endomorphism can be extended to an automorphism of a magma extension algebra extension &mdash the colimit of the constant sequence of the endomorphism ..
Schur's lemma
invertible or zero. In particular, the endomorphism ring of a simple module is a division ring . The condition ... s lemma says that any endomorphism of the module M is either given by a multiplication by a non zero ..
Fully characteristic subgroup
In mathematics , a subgroup of a group mathematics group is fully characteristic or fully invariant if it is invariant under every endomorphism of the group. That is, any endomorphism of the group tak ...
Eisenstein ideal
In mathematics , the Eisenstein ideal is a certain ideal ring theory ideal in the endomorphism ring of the Jacobian ... points of modular curves. The endomorphism ring in question is closely associated with a Hecke ..
Frobenius
Frobenius can be Frobenius Orgelbyggeri , Danish organ building firm Ferdinand Georg Frobenius 1849 1917 , mathematician Frobenius algebra Frobenius endomorphism Frobenius inner product Frobenius norm ...
Fitting lemma
module indecomposable and has finite length of a module length , then every endomorphism of M is either bijective or nilpotent . As an immediate consequence, we see that the endomorphism ring of every ..
Characteristic subgroup
H is invariant under the applications of surjective endomorphism s. For a finite group this is the same, because surjectivity implies injectivity, but not for an infinite group a surjective endomorphism ..
Adjoint
theory Adjoint representation of a Lie group Adjoint endomorphism of a Lie algebra Adjoint curve ..
Indecomposable module
. The converse is not true in general, as is shown by the second example above. By looking at the endomorphism ring of a module, one can tell whether the module is indecomposable if and only if the endomorphism ..
Algebraically compact group
links http www.springerlink.com index W3W06361813J347X.pdf On endomorphism rings of Abelian groups Category ..
Endofunction
Mergeto endomorphism date November 2007 In mathematics , an endofunction is a function mathematics function whose codomain is a subset of its domain mathematics domain . Let S be an arbitrary set. Among ..
Representative function
space V with a linear map from the endomorphism s of V into V s underlying field mathematics field ..
Medial
product . See the discussion in auto magma object . If f and g are endomorphism s of a medial magma ... an endomorphism. See also Medial category External links references Category Nonassociative algebra ..
Group with operators
group is a group mathematics group with a set mathematics set of group endomorphism s. Groups with operators ... endomorphism s of G . Examples Given any group G , G , is trivially a group with operators Given ..
Atiyah?Bott fixed-point theorem
, such that the resulting maps on section of a vector bundle sections give rise to an endomorphism of an elliptic complex endomorphism of the elliptic complex T . Such a T has its Lefschetz number L T which ..
Trivial representation
act as the zero endomorphism which sends every element of V to the zero vector. For any group ..
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