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Original Articles

The Translation Operator for Self-Projective Coalgebras

Pages 4608-4617 | Received 01 Dec 2010, Published online: 14 Dec 2011

REFERENCES

  • Auslander , M. , Reiten , I. , Smalø , S. ( 1997 ). Representation Theory of Artin Algebras. Cambridge Studies in Advanced Mathematics. Vol. 36. Cambridge University Press .
  • Assem , I. , Simson , D. , Skowroński , A. ( 2006 ). Elements of the Representation Theory of Associative Algebras . Vol. 1 . Techniques of representation theory. London Mathematical Society Student Texts, 65 . Cambridge : Cambridge University Press .
  • Chin , W. ( 2004 ). A brief introduction to coalgebra representation theory. In: Hopf Algebras, 109–131, Lecture Notes in Pure and Appl. Math., 237, New York: Dekker .
  • Chin , W. Special biserial coalgebras and representations of quantum SL(2). J. Algebra. http://arxiv.org/abs/math/0609370. To appear (2012).
  • Castaño Iglesias , F. , Dăscălescu , S. , Năstăsescu , C. Symmetric coalgebras . J. Algebra. 279 : 326 – 344 .
  • Cuadra Diaz , J. , Gómez Torrecillas , J. ( 2002 ). Idempotents and Morita-Takeuchi theory . Comm. Algebra 30 ( 5 ): 2405 – 2426 .
  • Cuadra Diaz , J. , Gómez Torrecillas , J. ( 2004 ). Serial Coalgebras . Journal of Pure and Applied Algebra 189 : 89 – 107 .
  • Chin , W. , Kleiner , M. , Quinn , D. ( 2002 ). Almost split sequences for comodules . J. Alg. 249 ( 1 ): 1 – 19 .
  • Chin , W. , Kleiner , M. , Quinn , D. ( 2005 ). Local theory of almost split sequences for comodules . Ann. Univ. Ferrara – Sez. VII – Sc. Mat. LI : 183 – 196 .
  • Chin , W. , Simson , D. ( 2010 ). Coxeter transformation and inverses of Cartan matrices for coalgebras . J. Algebra 324 ( 9 ): 2223 – 2248 .
  • DeConcini , C. , Lyubashenko , V. ( 1994 ). Quantum function algebra at roots of 1 . Advances in Math. 108 : 205 – 262 .
  • Dăscălescu , S. , Năstăsescu , C. , Raianu , Ş. ( 2001 ). Hopf Algebras: an introduction. Vol. 235. Lecture Notes in Pure and Applied Math. Vol. 235, New York: Marcel Dekker .
  • Gómez Torrecillas , J. , Năstăsescu , C. ( 1995 ). Quasi-co-Frobenius coalgebras . J. Algebra 174 : 909 – 923 .
  • Iovanov , M. Abstract integrals in algebra: Coalgebras, Hopf algebras and compact groups. http://arxiv.org/abs/0810.3740. To appear (2012).
  • Jantzen , J. C. ( 1996 ). Lectures on Quantum Groups, AMS Graduate Studies in Mathematics. Vol. 6 .
  • Lusztig , G. ( 1990 ). Quantum groups at roots of 1 . Geom. Ded. 35 : 89 – 114 .
  • Communicated by S. Montgomery. Dedicated to Miriam Cohen.

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