On the structure of locally finite pure semisimple Grothendieck categories

Daniel Simson

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1982)

  • Volume: 23, Issue: 4, page 397-406
  • ISSN: 1245-530X

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Simson, Daniel. "On the structure of locally finite pure semisimple Grothendieck categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 23.4 (1982): 397-406. <http://eudml.org/doc/91311>.

@article{Simson1982,
author = {Simson, Daniel},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Grothendieck category; pure semisimple category; pseudocompact rings; pseudocompact modules; Artin algebra; finite representation type; coalgebra},
language = {eng},
number = {4},
pages = {397-406},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On the structure of locally finite pure semisimple Grothendieck categories},
url = {http://eudml.org/doc/91311},
volume = {23},
year = {1982},
}

TY - JOUR
AU - Simson, Daniel
TI - On the structure of locally finite pure semisimple Grothendieck categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1982
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 23
IS - 4
SP - 397
EP - 406
LA - eng
KW - Grothendieck category; pure semisimple category; pseudocompact rings; pseudocompact modules; Artin algebra; finite representation type; coalgebra
UR - http://eudml.org/doc/91311
ER -

References

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  1. 1 M. Auslander, Large modules over Artin algebras, Algebra, Topology and Category Theory, A collection of papers in honor of S. Eilenberg, Academic Press, 1976, 1-17. Zbl0442.16025MR424874
  2. 2 G. Drozdowski& D. Simson, Quivers of pure semisimple type, Bull. Acad. Polon. Sci., Sér. Sc. Math. Astron. Phys. 27 (1979), 33-40. Zbl0449.18002MR539329
  3. 3 P. Gabriel, Des catégories abéliennes, Bull. Soc. Math. France90 (1962), 323-448. Zbl0201.35602MR232821
  4. 4 Z. Leszczynski & D. Simson, Note on pure semisimple Grothendieck categories and the exchange property, Bull. Acad. Polon. Sci., Sér. Sc. Math. Astron., Phys.27 (1979), 41-46. Zbl0408.18007MR539330
  5. 5 N. Popescu, Abelian categories with applications to rings and modules, Acad. P ress, 1973. Zbl0271.18006MR340375
  6. 6 C.M. Ringel, Representations of K-species and bimodules, J. Algebra41 (1976), 269-302. Zbl0338.16011MR422350
  7. 7 D. Simson, On pure global dimension of locally finitely presented Grothendieck categorie s, Fund. Math.96 (1977), 91- 116. Zbl0361.18010MR480690
  8. 8 D. Simson, On pure semisimple Grothendieck categories I, Fund. Math.100 (1978), 211- 222. Zbl0392.18012MR509547
  9. 9 D. Simson, On pure semisimple Grothendieck categories II, Id.110 (1980), 107. Zbl0393.18011MR600584
  10. 10 D. Simson, Categories of representations of species, J. Pure & Appl. Algebra14 (1979), 101-114. Zbl0396.18004MR515489
  11. 11 D. Simson, On the structure of pure semisimple Grothendieck categories, Proc. Conf. Darstellungstheorie Endlich dimensionaler Algebren, Oberwolfach1977. Zbl0361.18010
  12. 12 M.A. Sweedler, Hopf algebras, Benjamin, New York, 1969. Zbl0194.32901MR252485
  13. 13 L. Witkowski, On coalgebras and linearly topological rings, Colloq. Math.401979), 207-218. Zbl0418.16022MR547861

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