Isomorphisms and splitting of idempotents in semicategories

Lutz Schröder

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2000)

  • Volume: 41, Issue: 2, page 143-153
  • ISSN: 1245-530X

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Schröder, Lutz. "Isomorphisms and splitting of idempotents in semicategories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 41.2 (2000): 143-153. <http://eudml.org/doc/91630>.

@article{Schröder2000,
author = {Schröder, Lutz},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {free category; composition graphs; semicategories; isomorphisms; idempotents},
language = {eng},
number = {2},
pages = {143-153},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Isomorphisms and splitting of idempotents in semicategories},
url = {http://eudml.org/doc/91630},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Schröder, Lutz
TI - Isomorphisms and splitting of idempotents in semicategories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2000
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 41
IS - 2
SP - 143
EP - 153
LA - eng
KW - free category; composition graphs; semicategories; isomorphisms; idempotents
UR - http://eudml.org/doc/91630
ER -

References

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  1. [1] J. Adámek, H. Herrlich and G.E. Strecker: Abstract and concrete categories, Wiley Interscience, New York, 1990. Zbl0695.18001MR1051419
  2. [2] J. Adámek, F.W. Lawvere and J. Rosický: On a duality between varieties and algebraic theories, preprint. Zbl1090.18004MR1978611
  3. [3] J. Adámek and J. Rosický: Locally presentable and accessible categories. London Math. Soc. Lect. Note Ser. 189 (1994); Cambridge University Press. Zbl0795.18007MR1294136
  4. [4] F. Borceux and D. Dejean: Cauchy completion in category theory, Cahiers Topol. Géom. Diff.27 (1986), 133-146. Zbl0595.18001MR850528
  5. [5] C. Ehresmann: Catégories et structures, Dunod, Paris, 1965. Zbl0192.09803MR213410
  6. [6] C. Ehresmann and A.C. Ehresmann: Categories of sketched structures, Cahiers Topol. Geom. Diff.13 (1972), 105-214. Zbl0263.18009MR323856
  7. [7] P. Gabriel and F. Ulmer: Lokal präsentierbare Kategorien, Springer Lect. Notes Math.221 (1971). Zbl0225.18004MR327863
  8. [8] L. Schröder: Composition graphs and free extensions of categories (in German). PhD thesis, University of Bremen; LogosVerlag, Berlin, 1999. Zbl0945.18001
  9. [9] L. Schröder and H. Herrlich: Free adjunction of morphisms, to appear in Appl. Cat. Struct. Zbl0977.18001MR1799731
  10. [10] L. Schröder and H. Herrlich: Free Factorizations, to appear in Appl. Cat. Struct. Zbl1005.18002MR1866871

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