होमोमोर्फिज्म इसके अंग्रेजी अर्थ का उदाहरण

Their homomorphisms correspond to invariant differential operators over flag manifolds.

If A and B are abelian groups then the finite topology on the group of homomorphisms Hom(A, B) can be defined using the following base of open neighbourhoods of zero.

So we only get a homomorphism from the symplectic group to the projective unitary group of \mathcal H; in other words a projective representation.

The morphism part is given by mapping a group homomorphism to the function , which goes from to .

there is a unique group homomorphism.

The second statement is because to define a module homomorphism, it is enough to define it on the generating set of the module.

Given linear maps f: M \to M' of right modules over a ring R and g: N \to N' of left modules, there is a unique group homomorphism.

from the category of left modules to the category of abelian groups that sends N to and a module homomorphism f to the group homomorphism .

If f: R \to S is a ring homomorphism and if M is a right S-module and N a left S-module, then there is the canonical surjective homomorphism:.

Yet, some useful properties of the tensor product, considered as module homomorphisms, remain.

There is always a canonical homomorphism from E to its second dual.

In general, E is called a reflexive module if the canonical homomorphism is an isomorphism.

Given right R-module E and right R-module F, there is a canonical homomorphism such that is the map .

Given left R-module E and right R-module F, there is a canonical homomorphism such that is the map .