isomorphism class


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isomorphism class

(mathematics)
A collection of all the objects isomorphic to a given object. Talking about the isomorphism class (of a poset, say) ensures that we will only consider its properties as a poset, and will not consider other incidental properties it happens to have.
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Generic points of the quadrangle are elements of the group, generic lines are left (or right--the choice does not change the isomorphism class of the geometry) cosets of the subgroups of type [E.
Generic points of the quadrangle are elements of the group, generic lines are left (or right-the choice does not change the isomorphism class of the geometry) cosets of the subgroups of type [E.
the identity morphism of a pomonoid S is the isomorphism class [S] of the Pos-prodense biposet [sub.
prime^ be a theory obtained from T by removing all but a single model from each isomorphism class of the models of T.
alpha]] |[alpha] [member of] I} (representatives from each isomorphism class for some index set I).
10 we show that for each isomorphism class D of skew diagrams, the number [r.
2 If exactly one representative of every isomorphism class of cubic connected graphs up to n - 2 vertices is given, then applying bundled triangle insertion to one member of each equivalence class of extensible sets that leads to a cubic connected graph on n vertices generates exactly one representative for every isomorphism class of cubic connected graphs on n vertices that contain reducible triangles.
a set of objects in which precisely one representative for each isomorphism class occurs.
But, in general, the Hopf algebra R(G) fails to determine the isomorphism class of G [11, p.
For a given Hamiltonian cycle system H, let us denote by [H] its isomorphism class.
For a category F of finitely generated left F-modules, the Grothendieck group G(F) is the abelian group generated by symbols [M], one for every isomorphism class of modules M in F and relations [M] = [L] + [N] for any short exact sequence 0 [right arrow] L [right arrow] M [right arrow] N [right arrow] 0 in F.
ii+1] of the skeleton, the cardinality of the corresponding clone set or the isomorphism class of the corresponding tangle.