होमोमॉर्फिझम,

homomorphism's Usage Examples:

In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector.

the corresponding homomorphism to the symmetric group, G → Sym(X), has a trivial kernel.

A homomorphism may also be an isomorphism, an endomorphism, an automorphism, etc.

More explicitly, if R and S are rings, then a ring homomorphism is a function.

the area of topology known as algebraic topology, an induced homomorphism is a homomorphism derived in a canonical way from another map.

In mathematics, an algebra homomorphism is a homomorphism between two associative algebras.

(or first isomorphism theorem) states that image of a homomorphism is isomorphic to the quotient by the kernel.

geometry, the section conjecture gives a conjectural description of the splittings of the group homomorphism π 1 ( X ) → Gal ⁡ ( k ) {\displaystyle \pi _{1}(X)\to.

The connecting homomorphism sends a line bundle to its first Chern class.

Then there exists a field homomorphism h : F "rarr; such that h(e(x))"nbsp;"nbsp;exp(h(x)) for all x in F.

Thus an exponential function on a field is a homomorphism between the additive.

both unitary on L2 and an algebra homomorphism from L1 to L∞, without renormalizing the Lebesgue measure.

The kernel N of the homomorphism with the symmetric group, G → Sym(X), is given by the intersection of the stabilizers Gx.

Synonyms:

homomorphy, similarity,

Antonyms:

similar, difference, dissimilarity,