If there exists an isomorphism between two groups, then the groups are called
isomorphic.
isomorphic groups have the same properties and
Kaynak: Group isomorphismAn
isomorphic keyboard is a musical input device consisting of a two-dimensional grid of note-controlling elements (such as buttons or
Kaynak: Isomorphic keyboardn, where n is the number of the vertices of the graph, two labeled graphs are said to be
isomorphic if the corresponding underlying
Kaynak: Graph isomorphismOften, it is required to decompose a graph into subgraphs
isomorphic to a fixed graph; for instance, decomposing a complete graph into
Kaynak: Graph theoryIf V has finite dimension n, then End(V) is
isomorphic to the associative algebra of all n × n matrices with entries in K. The
Kaynak: Linear mapTwo objects with an isomorphism between them are said to be
isomorphic or equivalent. Note that while every isomorphism is a bimorphism,
Kaynak: MorphismIn category theory , two categories C and D are
isomorphic if there exist functor s F : C → D and G : D → C which are mutually inverse to
Kaynak: Isomorphism of categoriesWhenever two posets are order
isomorphic, they can be considered to be "essentially the same" in the sense that one of the orders can be
Kaynak: Order isomorphismIn computability theory two sets A and B are computably
isomorphic or recursively
isomorphic if there exists a bijective computable
Kaynak: Computable isomorphismTwo functors F and G are called naturally
isomorphic or simply
isomorphic if there exists a natural isomorphism from F to G. An infranatural
Kaynak: Natural transformation