Kasch bimodules

D. N. Dikranjan; E. Gregorio; A. Orsatti

Rendiconti del Seminario Matematico della Università di Padova (1991)

  • Volume: 85, page 147-160
  • ISSN: 0041-8994

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Dikranjan, D. N., Gregorio, E., and Orsatti, A.. "Kasch bimodules." Rendiconti del Seminario Matematico della Università di Padova 85 (1991): 147-160. <http://eudml.org/doc/108213>.

@article{Dikranjan1991,
author = {Dikranjan, D. N., Gregorio, E., Orsatti, A.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Morita duality; bimodule; injective cogenerator; finitely generated module},
language = {eng},
pages = {147-160},
publisher = {Seminario Matematico of the University of Padua},
title = {Kasch bimodules},
url = {http://eudml.org/doc/108213},
volume = {85},
year = {1991},
}

TY - JOUR
AU - Dikranjan, D. N.
AU - Gregorio, E.
AU - Orsatti, A.
TI - Kasch bimodules
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1991
PB - Seminario Matematico of the University of Padua
VL - 85
SP - 147
EP - 160
LA - eng
KW - Morita duality; bimodule; injective cogenerator; finitely generated module
UR - http://eudml.org/doc/108213
ER -

References

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  2. [An] Pham Ngoc Anh, Morita duality for commutative rings, Comm. Algebra18 (1990), pp. 1781-1788. Zbl0715.13017MR1071074
  3. [Az] G. Azumaya, A duality theory for injective modules, Amer. J. Math.81 (1959), pp. 249-278. Zbl0088.03304MR106932
  4. [DO] D. Dikranjan and A. Orsatti, On the structure of linearly compact rings and their dualities, Rend. Accad. Naz. Sc.XLMem. Mat. (5) VIII (1984), pp. 143-184. Zbl0562.16023MR774919
  5. [Fu] K.R. Fuller, Density and equivalence, J. Algebra29 (1974), pp. 528-550. Zbl0306.16020MR374192
  6. [G] E. Gregorio, Classical Morita equivalence and linear topologies; applications to quasi-dualities, Comm. Algebra18 (1990), pp. 1137-1146. Zbl0716.16003MR1059943
  7. [K] F. Kasch, Modules and rings, Academic Press, London and New York, 1982, (transl. and ed. by D. A. R. Wallace). Zbl0523.16001MR667346
  8. [L] H. Leptin, Linear kompakten Moduln und Ringe, Math, Z.62 (1955), pp. 241-267. Zbl0064.03201MR69811
  9. [Ma] E. Matlis, Injective modules over noetherian rings, Pac. J. Math.8 (1958), pp. 511-528. Zbl0084.26601MR99360
  10. [Me] C. Menini, Linearly compact rings and strongly quasi-injective modules, Rend. Sem. Mat. Univ. Padova65 (1980), pp. 252-262. Zbl0483.16024MR653298
  11. [Mo] K. Morita, Duality for modules and its applications to the theory of rings with minimum conditions, Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A 6 (1958), pp. 83-142. Zbl0080.25702MR96700
  12. [Mü] B.J. Müller, Linear compactness and Morita duality, J. Algebra16 (1970), pp. 60-66. Zbl0206.04803MR263875
  13. [T] H. Tachikawa, Quasi-Frobenius rings and generalizations, QF-1 and QF-3 rings, Lecture Notes in Mathematics 351, Springer, Berlin, Heidelberg, New York, 1973. Zbl0271.16004MR349740

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