definition
Related by an isomorphism; having a structure-preserving one-to-one correspondence.
definition
Having a similar structure or function to something that is not related genetically or through evolution.
definition
Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations.
If they have identical discriminator, they may or may not be isomorphic.
However, the groups have gone through the random isomorphism test and hence it is likely that they are not isomorphic.
Isotopic groups are necessarily isomorphic, but this is certainly not true for nonassociative quasigroups or loops.
Need to show that the BM's are isomorphic to the predicate transformers.
Therefore, differences in the " strength " of a superordinate category of structurally isomorphic constructions will only be found in their semantic cohesion.
If not suppose we have two systems which are functional isomorphic at level n but are not functionally isomorphic at level n-1.
We call the type of persistence provided by RWCollectable polymorphic persistence, and recognize it as a superset of isomorphic persistence.
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