Representable equivalences are represented by tilting modules

Gabriella D'Este; Dieter Happel

Rendiconti del Seminario Matematico della Università di Padova (1990)

  • Volume: 83, page 77-80
  • ISSN: 0041-8994

How to cite

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D'Este, Gabriella, and Happel, Dieter. "Representable equivalences are represented by tilting modules." Rendiconti del Seminario Matematico della Università di Padova 83 (1990): 77-80. <http://eudml.org/doc/108185>.

@article{DEste1990,
author = {D'Este, Gabriella, Happel, Dieter},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {additive equivalences; injective cogenerator; category of R-modules; tilting modules; finite dimensional algebra},
language = {eng},
pages = {77-80},
publisher = {Seminario Matematico of the University of Padua},
title = {Representable equivalences are represented by tilting modules},
url = {http://eudml.org/doc/108185},
volume = {83},
year = {1990},
}

TY - JOUR
AU - D'Este, Gabriella
AU - Happel, Dieter
TI - Representable equivalences are represented by tilting modules
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1990
PB - Seminario Matematico of the University of Padua
VL - 83
SP - 77
EP - 80
LA - eng
KW - additive equivalences; injective cogenerator; category of R-modules; tilting modules; finite dimensional algebra
UR - http://eudml.org/doc/108185
ER -

References

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  1. [1] I. Assem, Torsion theories induced by tilting modules, Can. J. Math., 36 (1984), pp. 899-913. Zbl0539.16022MR762747
  2. [2] R. Colpi, Some remarks on equivalences between categories of modules, to appear in Comm. Algebra. Zbl0708.16002MR1071082
  3. [3] G. D'Este, Some remarks on representable equivalences, to appear in vol. 26 of the Banach Center Publications. Zbl0722.16007
  4. [4] M. Hoshino, Tilting modules and torsion theories, Bull. London Math. Soc., 14 (1982), pp. 334-336. Zbl0486.16019MR663483
  5. [5] C. Menini - A. Orsatti, Representable equivalences between categories of modules and applications, Rend. Sem. Mat. Univ. Padova, 82 (1989), pp. 203-231. Zbl0701.16007MR1049594
  6. [6] C.M. Ringel, Tame algebras and integral quadratic forms, Springer LMN1099 (1984). Zbl0546.16013MR774589
  7. [7] C.M. Ringel - H. TACHIKAWA, QF-3 rings, J. Reine Angew. Math., 272 (1974), pp. 49-72. Zbl0318.16006MR379578
  8. [8] S.O. Smalø, Torsion theories and tilting modules, Bull. London Math. Soc., 16 (1984), pp. 518-522. Zbl0519.16016MR751824

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