Representable equivalences between categories of modules and applications

Claudia Menini; Adalberto Orsatti

Rendiconti del Seminario Matematico della Università di Padova (1989)

  • Volume: 82, page 203-231
  • ISSN: 0041-8994

How to cite

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Menini, Claudia, and Orsatti, Adalberto. "Representable equivalences between categories of modules and applications." Rendiconti del Seminario Matematico della Università di Padova 82 (1989): 203-231. <http://eudml.org/doc/108160>.

@article{Menini1989,
author = {Menini, Claudia, Orsatti, Adalberto},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {equivalences; bimodule; functor; tilting; duality},
language = {eng},
pages = {203-231},
publisher = {Seminario Matematico of the University of Padua},
title = {Representable equivalences between categories of modules and applications},
url = {http://eudml.org/doc/108160},
volume = {82},
year = {1989},
}

TY - JOUR
AU - Menini, Claudia
AU - Orsatti, Adalberto
TI - Representable equivalences between categories of modules and applications
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1989
PB - Seminario Matematico of the University of Padua
VL - 82
SP - 203
EP - 231
LA - eng
KW - equivalences; bimodule; functor; tilting; duality
UR - http://eudml.org/doc/108160
ER -

References

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  1. [A] G. Azumaya, Some aspects of Fuller's theorem, in: Module Theory (C. FAITH and S. WIEGEND, eds.), Lecture Notes in Math., Vol. 700, pp. 34-45, New York- Heidelberg-Berlin, 1979. Zbl0405.16022MR550427
  2. [F] K.R. Fuller, Density and equivalence, J. Alg., 29 (1974), pp. 528-550. Zbl0306.16020MR374192
  3. [G] E. Gregorio, A theorem of equivalences between categories of modules with some applications, Rend. Cir. Mat. Palermo, Sez. II, 33 (1984), pp. 305-318. Zbl0567.16029MR779935
  4. [H] D.K. Harrison, Infinite abelian groups and homological methods, Ann. Math., 69 (1959), pp. 366-391. Zbl0100.02901MR104728
  5. [HR 1] D. Happel - C.M. Ringel, Construction of tilted algebras, in: Representations of Algebras, (M. AUSLANDER and E. LLUIS, eds.), Lecture Notes in Math., Vol. 903, pp. 125-144, New-York -Heidelberg-Berlin, 1981. Zbl0503.16025MR654707
  6. [HR2] D. Happel - C.M. Ringel, Tilted algebras, T.A.M.S., 274 (1982), pp. 399-443. Zbl0503.16024MR675063
  7. [M] K. Morita, Localization in categories of modules - I, Math. Z., 114 (1982), pp. 121-144. Zbl0177.06001MR263858
  8. [MO] C. Menini - A. Orsatti, Good dualities and strongly quasi-injective modules, Ann. Mat. Pura Appl., 127 (1981), pp. 182-230. Zbl0476.16029MR633400
  9. [S] M. Sato, On equivalences between module subcategories, J. Alg., 59 (1979), pp. 412-420. Zbl0413.16027MR543260
  10. [ZH] B. Zimmermann - HUISGEN, Endomorphism rings of self-generators, Pac. J. Math., 61 (1975), pp. 587-602. Zbl0306.16021MR404322

Citations in EuDML Documents

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  1. Sonia Dal Pio, Adalberto Orsatti, Representable equivalences for closed categories of modules
  2. Gabriella D'Este, Dieter Happel, Representable equivalences are represented by tilting modules
  3. Jan Žemlička, Jan Trlifaj, Steady ideals and rings
  4. Wei Jiaqun, Estimates of global dimension
  5. Jan Trlifaj, On *-modules generating the injectives
  6. Paolo Zanardo, On *-modules over valuation rings
  7. Robert El Bashir, Tomáš Kepka, Petr Němec, Modules commuting (via Hom) with some colimits

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