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.
References in periodicals archive ?
the identity morphism of a pomonoid S is the isomorphism class [S] of the Pos-prodense biposet [sub.
10 we show that for each isomorphism class D of skew diagrams, the number [r.
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.
a set of objects in which precisely one representative for each isomorphism class occurs.
ii+1] of the skeleton, the cardinality of the corresponding clone set or the isomorphism class of the corresponding tangle.