Essentially equational categories

J. Adámek; H. Herrlich; J. Rosický

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1988)

  • Volume: 29, Issue: 3, page 175-192
  • ISSN: 1245-530X

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Adámek, J., Herrlich, H., and Rosický, J.. "Essentially equational categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 29.3 (1988): 175-192. <http://eudml.org/doc/91420>.

@article{Adámek1988,
author = {Adámek, J., Herrlich, H., Rosický, J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {essentially algebraic category; solid functor; fibre-discrete functor; essentially equational categories; essentially monadic category},
language = {eng},
number = {3},
pages = {175-192},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Essentially equational categories},
url = {http://eudml.org/doc/91420},
volume = {29},
year = {1988},
}

TY - JOUR
AU - Adámek, J.
AU - Herrlich, H.
AU - Rosický, J.
TI - Essentially equational categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1988
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 29
IS - 3
SP - 175
EP - 192
LA - eng
KW - essentially algebraic category; solid functor; fibre-discrete functor; essentially equational categories; essentially monadic category
UR - http://eudml.org/doc/91420
ER -

References

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  1. A.J. Adámek, Theory of mathematical structures, Reidel Publ, C', Dordrecht-Lancaster, 1983, Zbl0523.18001MR735079
  2. A2 J., Adámek, Colimits of algebras revisited, Bull. Austral. Math. Soc.17 (1977), 433-450, Zbl0365.18007MR470020
  3. AHS J. Adámek, H. Herrlich & G.E. Strecker, Least and largest initial completions, Comment. Math. Univ. Carolina20 (1979), 43-77, Zbl0404.18005MR526147
  4. AHT J. Adámek, H. Herrlich & W. Tholen, Monadic decompositions, J. Pure Appl. Algebra (to appear), Zbl0675.18001MR1007916
  5. BH B. Banaschewski & H. Herrlich, Subcategories defined by implications, Houston Math. J.2 (1977), 149-171, Zbl0344.18002MR401867
  6. BR K. Benecke & H. Reichel, Equational partiality, Alg. Univ.16 (1983), 219-232. Zbl0524.08005MR692262
  7. C M. Coste, Localizations, spectra and sheaf representations, Lecture Notes in Math, 753, Springer (1979), 212-238, Zbl0422.18007MR555547
  8. E, C. Ehresmann, Introduction to the theory of structured categories, Techn, Rep, 10, Univ, Kansas1966, Reprinted in Charles Ehresmann, Oeuvres complétes et commentées, Partie III-2, Amiens, 1981, Zbl0192.10001
  9. E2 C. Ehresmann, Esquisses et types de structres algébriques, Bull. Inst. Polit. Iasi14, 1968, 1-14, Reprinted in “Charles Ehresmann; Œuvres complètes et commentées”, Partie IV-1, Amiens, 1982, Zbl0196.03102
  10. F W. Felscher, Kennzeichnung von primitiven und quasiprimitiven Kategorien von Algebren, Arch. Math.19 (1968), 390-397, Zbl0164.01203MR232816
  11. Fr P. Freyd, Aspects of topoi, Bull. Austral. Math. Soc, 7 (1972), 1-16. Zbl0252.18001MR396714
  12. GU P. Gabriel & F. Ulmer, Lokal präsentierbare Kategorien, Lecture Notes in Math, 221, Springer (1971). Zbl0225.18004MR327863
  13. H, H. Herrlich, Regular categories and regular functors, Can. J. Math.26 (1974), 709-720. Zbl0255.18002MR432732
  14. H2 H. Herrlich, Essentially algebraic categories, Quest. Math.9 (1986), 245-262, Zbl0605.18004MR862301
  15. HS, H. Herrlich & G.E. Strecker, Semi-universal maps and universal initial completions, Pacific J. Math.82 (1979), 407-428, Zbl0379.18008MR551699
  16. HS2 H Herrlich, & G.E. Strecker, Category Theory, Heldermann, Berlin1979, Zbl0437.18001MR571016
  17. La C., LAIR, Foncteurs d'omission de structures algébriques, Cahiers Top. Géom. Diff.XII (1971), 147-186, Zbl0226.18004MR327864
  18. L, F.E.J. Linton, Some aspects of equational categories, Proc. Conf. Cat. Alg.La Jolla1964, Springer, Berlin1966, 84-94, Zbl0201.35003MR209335
  19. L2 F.E.J. Linton, An outline of functorial semantics, Lecture Notes in Math.,80, Springer1969, 7-52. Zbl0181.02802MR244340
  20. MS J.L. MacDonald & A. Stone, The tower and regular decomposition, Cahiers Top. Géom. Diff.XXIII (1982), 197-213, Zbl0491.18002MR667399
  21. PR D. Pumplün & H. Röhrl, Based spaces and totally convex spaces, Comm. in Alg.12 (1984), 953-1019, Zbl0552.46042MR735910
  22. R.H., Reichel, Structural induction on partial algebras, Akademie-Verlag, Berlin1984, Zbl0553.08002MR760632
  23. Ro, J. Rosický, Concrete categories and infinitary languages, J. Pure Appl. Alg.22 (1981). 308-339 Zbl0475.18001MR629337
  24. R02 J. Rosický, Semi-initial completions, J. Pure Appl. Alg.40 (1986), 177-183, Zbl0587.18001MR830320
  25. T W. Tholen, Semi-topological functors, J. Pure Appl. Alg.15 (1979), 53-73, Zbl0413.18001MR532963

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