Dualities over compact rings

Enrico Gregorio

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 80, page 151-174
  • ISSN: 0041-8994

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Gregorio, Enrico. "Dualities over compact rings." Rendiconti del Seminario Matematico della Università di Padova 80 (1988): 151-174. <http://eudml.org/doc/108115>.

@article{Gregorio1988,
author = {Gregorio, Enrico},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Pontrjagin dual; category of right locally compact R-modules; compact ring; duality; natural isomorphisms},
language = {eng},
pages = {151-174},
publisher = {Seminario Matematico of the University of Padua},
title = {Dualities over compact rings},
url = {http://eudml.org/doc/108115},
volume = {80},
year = {1988},
}

TY - JOUR
AU - Gregorio, Enrico
TI - Dualities over compact rings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 80
SP - 151
EP - 174
LA - eng
KW - Pontrjagin dual; category of right locally compact R-modules; compact ring; duality; natural isomorphisms
UR - http://eudml.org/doc/108115
ER -

References

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  1. [DO1] D. Dikranjan - A. Orsatti, Sugli anelli linearmente compatti, Suppl. Rend. Circ. Mat. Palermo, (2), 4 (1984), pp. 59-74. Zbl0567.16028MR769854
  2. [DO2] D. Dikranjan - A. Orsatti, On the structure of linearly compact rings and their dualities, Rend. Accad. Naz. XL Mem. Mat., (5), 8 (1984), pp. 143-184. Zbl0562.16023MR774919
  3. [GS] O. Goldman - C.H. Sah, Locally compact rings of special type, J. Algebra, 11 (1969), pp. 363-454. Zbl0209.33905MR236232
  4. [G] E. Gregorio, Generalized Morita equivalence for linearly topologized rings, Rend. Sem. Mat. Univ. Padova, 79 (1988). Zbl0661.16036MR964033
  5. [K] I. Kaplansky, Topological rings, Amer. Journ. Math., 69 (1947), pp. 153-183. Zbl0034.16604MR19596
  6. [MO] C. Menini - - A. Orsatti, The basic of a locally artinian category and applications, Arch. Math., 49 (1987), pp. 484-496. Zbl0614.18006MR921114
  7. [P] L.S. Pontrjagin, Topological groups, II ed., Gordon and Breach, New York, 1966. MR201557
  8. [R] N. Rodinò, Locally compact modules over compact rings, Atti Accad. Naz. Lincei Rend. Cl. Sci. Mat. Fis. Nat., (8), 77 (1984), pp. 61-63. Zbl0613.13012MR884936
  9. [SV] D.W. Sharpe - P. Vamos, Injective modules, Cambridge University Press, London, 1972. Zbl0245.13001MR360706
  10. [S] L. Stoyanov, Dualities over compact commutative rings, Rend. Accad. Naz. XL Mem. Mat., (5), 7 (1983), pp. 155-176. Zbl0545.22004MR738761
  11. [Z] D. Zelinsky, Linearly compact modules and rings, Amer. Journ. Math., 75 (1953), pp. 79-90. Zbl0050.10802MR51832

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