ಹೋಮೋಮಾರ್ಫಿಸಮ್,

homomorphisms's Usage Examples:

Group homomorphisms tend to reduce the orders of elements: if f: G → H is a homomorphism.

This includes kernels for homomorphisms between abelian groups.

As subobjects For every signature σ, induced substructures of σ-structures are the subobjects in the concrete category of σ-structures and strong homomorphisms (and also in the concrete category of σ-structures and σ-embeddings).

It follows that the class of all rings forms a category with ring homomorphisms as the morphisms.

Induced homomorphisms often inherit properties of the maps they come from; for example, two.

mathematics, the category Ab has the abelian groups as objects and group homomorphisms as morphisms.

that the L-packets of a reductive group G over a local field F are conjecturally parameterized by certain homomorphisms of the Langlands group of F to.

category Grp (or Gp) has the class of all groups for objects and group homomorphisms for morphisms.

context of category theory, a variety of algebras, together with its homomorphisms, forms a category; these are usually called finitary algebraic categories.

Subgroups of metabelian groups are metabelian, as are images of metabelian groups over group homomorphisms.

Then coalgebras for the endofunctor P(A×(-)) are in bijective correspondence with labelled transition systems, and homomorphisms between coalgebras correspond to functional bisimulations between labelled transition systems.

algebraic structure, the fundamental theorem on homomorphisms (or first isomorphism theorem) states that image of a homomorphism is isomorphic to the quotient.

Synonyms:

homomorphy, similarity,

Antonyms:

similar, difference, dissimilarity,