Isomorphisms and splitting of idempotents in semicategories (bibtex)

by Lutz Schröder

Abstract:

It is shown that for certain systems of generators and relations for categories, called semicategories, the generated category does not contain isomorphisms other than those already specified in the generating system. Furthermore, the splitting of idempotents in the generated category can be reduced to a splitting property in the generating semicategory.

Reference:

Lutz Schröder: Isomorphisms and splitting of idempotents in semicategories, In Cahiers de Topologie et Géométrie Différentielle catégoriques, 41, pp. 143–153, 2000. [preprint]

Bibtex Entry:

@Article{Schroder00a,
  author = {Lutz Schr{\"o}der},
  title = {Isomorphisms and splitting of idempotents in semicategories},
  year = {2000},
  journal = {Cahiers de Topologie et G{\'e}om{\'e}trie Diff{\'e}rentielle cat{\'e}goriques},
  volume = {41},
  pages = {143-153},
  keywords = {isomorphism split idempotent semicategory},
  comment = {<a href="http://www8.informatik.uni-erlangen.de/~schroeder/papers/CTGD2.ps">[preprint]</a>},
  abstract = {It is shown that for certain systems of generators and relations for categories, called semicategories, the generated category does not contain isomorphisms other than those already specified in
the generating system. Furthermore, the splitting of idempotents in the generated category can be reduced to a splitting property in the generating semicategory.
},
}