International Journal of Mathematics and Mathematical Sciences

Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

1. I. Assem, D. Simson, and A. Skowroński, Elements of the Representation Theory of Associative Algebras. Vol. 1. Techniques of Representation Theory, vol. 65 of London Mathematical Society Student Texts, Cambridge University Press, Cambridge, 2006. View at MathSciNet
2. M. Auslander, I. Reiten, and S. O. Smalø, Representation Theory of Artin Algebras, vol. 36 of Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, 1995. View at Zentralblatt MATH · View at MathSciNet
3. W. Chin, “A brief introduction to coalgebra representation theory,” in Hopf Algebras, vol. 237 of Lecture Notes in Pure and Appl. Math., pp. 109–131, Marcel Dekker, New York, 2004. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
4. W. Chin and S. Montgomery, “Basic coalgebras,” in Modular Interfaces (Riverside, CA, 1995), vol. 4 of AMS/IP Studies in Advanced Mathematics, pp. 41–47, American Mathematical Society, Rhode Island, 1997. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
5. J. Cuadra and J. Gómez-Torrecillas, “Idempotents and Morita-Takeuchi theory,” Communications in Algebra, vol. 30, no. 5, pp. 2405–2426, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
6. S. Dăscălescu, C. Năstăsescu, and Ş. Raianu, Hopf Algebras. An Introduction, vol. 235 of Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, New York, 2001. View at Zentralblatt MATH · View at MathSciNet
7. P. Gabriel, “Des catégories abéliennes,” Bulletin de la Société Mathématique de France, vol. 90, pp. 323–448, 1962. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
8. P. Gabriel, “Indecomposable representations. II,” in Symposia Mathematica, Vol. XI (Convegno di Algebra Commutativa, INDAM, Rome, 1971), pp. 81–104, Academic Press, London, 1973. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
9. E. Gregorio, “Generalized Artin algebras,” preprint, Verona, March 2002.
10. J. Kosakowska and D. Simson, “Hereditary coalgebras and representations of species,” Journal of Algebra, vol. 293, no. 2, pp. 457–505, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
11. H. Leptin, “Linear kompakte Moduln und Ringe. I,” Mathematische Zeitschrift, vol. 62, no. 1, pp. 241–267, 1955. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
12. H. Leptin, “Linear kompakte Moduln und Ringe. II,” Mathematische Zeitschrift, vol. 66, no. 1, pp. 289–327, 1957. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
13. S. Montgomery, Hopf Algebras and Their Actions on Rings, vol. 82 of CBMS Regional Conference Series in Mathematics, American Mathematical Society, Washington, DC, 1993. View at Zentralblatt MATH · View at MathSciNet
14. S. Montgomery, “Indecomposable coalgebras, simple comodules, and pointed Hopf algebras,” Proceedings of the American Mathematical Society, vol. 123, no. 8, pp. 2343–2351, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
15. C. Năstăsescu and B. Torrecillas, “Colocalization on Grothendieck categories with applications to coalgebras,” Journal of Algebra, vol. 185, no. 1, pp. 108–124, 1996. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
16. D. E. Radford, “On the structure of pointed coalgebras,” Journal of Algebra, vol. 77, no. 1, pp. 1–14, 1982. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
17. D. Simson, “On the structure of locally finite pure semisimple Grothendieck categories,” Cahiers de Topologie et Géométrie Différentielle, vol. 23, no. 4, pp. 397–406, 1982. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
18. D. Simson, Linear Representations of Partially Ordered Sets and Vector Space Categories, vol. 4 of Algebra, Logic and Applications, Gordon & Breach Science, Montreux, 1992. View at Zentralblatt MATH · View at MathSciNet
19. D. Simson, “Coalgebras, comodules, pseudocompact algebras and tame comodule type,” Colloquium Mathematicum, vol. 90, no. 1, pp. 101–150, 2001. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
20. D. Simson, “On coalgebras of tame comodule type,” in Representations of Algebra. Vol. II, Proceedings ICRA-9, D. Happel and Y. B. Zhang, Eds., pp. 450–486, Beijing Normal University Press, Beijing, 2002. View at Google Scholar · View at MathSciNet
21. D. Simson, “Path coalgebras of quivers with relations and a tame-wild dichotomy problem for coalgebras,” in Rings, Modules, Algebras, and Abelian Groups, vol. 236 of Lecture Notes in Pure and Appl. Math., pp. 465–492, Marcel Dekker, New York, 2004. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
22. D. Simson, “Localising embeddings of comodule coalgebras with applications to tame and Euler coalgebras,” preprint, 2005.
23. M. E. Sweedler, Hopf Algebras, Mathematics Lecture Note Series, W. A. Benjamin, New York, 1969. View at Zentralblatt MATH · View at MathSciNet
24. D. Woodcock, “Some categorical remarks on the representation theory of coalgebras,” Communications in Algebra, vol. 25, no. 9, pp. 2775–2794, 1997. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet