Representable equivalences for closed categories of modules

Sonia Dal Pio; Adalberto Orsatti

Rendiconti del Seminario Matematico della Università di Padova (1994)

  • Volume: 92, page 239-260
  • ISSN: 0041-8994

How to cite

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Dal Pio, Sonia, and Orsatti, Adalberto. "Representable equivalences for closed categories of modules." Rendiconti del Seminario Matematico della Università di Padova 92 (1994): 239-260. <http://eudml.org/doc/108340>.

@article{DalPio1994,
author = {Dal Pio, Sonia, Orsatti, Adalberto},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {generators; equivalences of categories; torsion theory; projective modules; bimodules; representation theorem; -generated modules; Gabriel-Popescu Theorem; Grothendieck category; closed spectral subcategories},
language = {eng},
pages = {239-260},
publisher = {Seminario Matematico of the University of Padua},
title = {Representable equivalences for closed categories of modules},
url = {http://eudml.org/doc/108340},
volume = {92},
year = {1994},
}

TY - JOUR
AU - Dal Pio, Sonia
AU - Orsatti, Adalberto
TI - Representable equivalences for closed categories of modules
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1994
PB - Seminario Matematico of the University of Padua
VL - 92
SP - 239
EP - 260
LA - eng
KW - generators; equivalences of categories; torsion theory; projective modules; bimodules; representation theorem; -generated modules; Gabriel-Popescu Theorem; Grothendieck category; closed spectral subcategories
UR - http://eudml.org/doc/108340
ER -

References

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  1. [A] G. Azumaya, Some aspects of Fuller's theorem, in Module Theory, Lecture Notes in Mathematics, 700, Springer, New York, Heidelberg, Berlin (1979), pp. 34-45. Zbl0405.16022MR550427
  2. [AF] F.W. Anderson - K.R. Fuller, Rings and Categories of Modules, Springer-Verlag, New York, Heidelberg, Berlin (1974). Zbl0301.16001MR417223
  3. [AW] T. Albu - R. Wisbauer, Generators in Grothendieck categories with right perfect endomorphism rings, Osaka J. Math, 28, (1991), pp. 295-304. Zbl0769.16004MR1132167
  4. [F] K.R. Fuller, Density and equivalence, J. Alg., 29, (1974), pp. 528-550. Zbl0306.16020MR374192
  5. [M] K. Morita, Duality for modules and its applications to the theory of rings with minnimum condition, Sci. Rep. Tokyo Kyoiku Daigaku Sec. A, 6, (1959), pp. 83-143. Zbl0080.25702MR96700
  6. [MO1] C. Menini - A. Orsatti, Good dualities and strongly quasi-injective modules, Ann. Mat. Pura Appl., 127, (1981), pp. 182-230. Zbl0476.16029MR633400
  7. [MO2] C. Menini - A. Orsatti, Representable equivalences between categories of modules and applications, Rend. Sem. Mat. Univ. Padova, 82, (1989), pp. 203-231. Zbl0701.16007MR1049594
  8. [N] C. Nastasescu, Teorie della torsione, Quaderni dei Gruppi di Ricerca Matematica del CNR, Univ. diFerrara (1974). 
  9. [St] B. Stenström, Ring of Quotients, Springer, Berlin, Heidelberg, New York (1975). Zbl0296.16001MR389953
  10. [WW] C.L. Walker - E.A. Walker, Quotient categories of modules, in Conference on Categ. Alg., Springer, Berlin, Heidelberg, New York (1966), pp. 404-420. Zbl0202.32401MR206075
  11. [ZH] B. Zimmermann-Huisgen, Endomorphism rings of self-generators, Pacific J. Math, 61, (1975), pp. 587-602. Zbl0306.16021MR404322

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