Compactifications de Bohr d'anneaux et de modules

Gabriel Picavet

Annales scientifiques de l'Université de Clermont. Mathématiques (1992)

  • Volume: 98, Issue: 28, page 185-253
  • ISSN: 0249-7042

How to cite

top

Picavet, Gabriel. "Compactifications de Bohr d'anneaux et de modules." Annales scientifiques de l'Université de Clermont. Mathématiques 98.28 (1992): 185-253. <http://eudml.org/doc/80594>.

@article{Picavet1992,
author = {Picavet, Gabriel},
journal = {Annales scientifiques de l'Université de Clermont. Mathématiques},
keywords = {topological rings; topological modules; Bohr compactification},
language = {fre},
number = {28},
pages = {185-253},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Compactifications de Bohr d'anneaux et de modules},
url = {http://eudml.org/doc/80594},
volume = {98},
year = {1992},
}

TY - JOUR
AU - Picavet, Gabriel
TI - Compactifications de Bohr d'anneaux et de modules
JO - Annales scientifiques de l'Université de Clermont. Mathématiques
PY - 1992
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 98
IS - 28
SP - 185
EP - 253
LA - fre
KW - topological rings; topological modules; Bohr compactification
UR - http://eudml.org/doc/80594
ER -

References

top
  1. 1 - N. Bourbaki, " Algèbre commutative ", Chaps 3 et 4, Hermann, Paris, 1967. 
  2. 2 - N. Bourbaki, " Topologie générale ", Chaps 1 et 2, Hermann, Paris, 1961. 
  3. 3 - N. Bourbaki, " Topologie générale ", Chaps 3 et 4, Hermann, Paris, 1960. 
  4. 4 - N. Bourbaki, " Topologie générale ", Chap 10, Herrnann, Paris, 1961. 
  5. 5 - N. Bourbaki, " Théories spectrales ", Chaps 1 et 2, Hermann, Paris, 1967. MR213871
  6. 6 - Chew K.L. et Lawn S., Residually finite rings, Canad. J. Math, 22, (1970), 92-101. Zbl0215.08901MR260773
  7. 7 - Eilenberg S. et Steenrod N., Foundations of algebraic topology, Princeton University Press, Princeton, 1952. Zbl0047.41402MR50886
  8. 8 - Gale D., Compact sets of functions and functions rings, Proc. Amer. Math. Soc., 1, (1950), 303-308. Zbl0037.35501MR36503
  9. 9 - Goldman S. et Sah C.H., On a spécial class of locally compact rings, J. Algebra, 4, (1966), 71-95. Zbl0163.03601MR195908
  10. 10- Holm P., On the Bohr compactification, Math. Annalen, 156, (1964), 34-46. Zbl0121.03705MR181700
  11. 11- Holm P. et Alfsen E.M., A note on compact representations and almost periodicity in topological groups, Math. Scand, 10, (1962), 127-136. Zbl0132.36102MR147576
  12. 12- Kelley J L., General topology, D. Van Nostrand Company, Princeton, Toronto, London, Melbourne, 1955. Zbl0066.16604MR70144
  13. 13- Lambek J., Localization and completion, J. Pure Appl. Algebra, 2, (1972), 343-370. Zbl0281.16002MR320047
  14. 14 - Lambek J., Non commutative localization, Bull. Amer. Math. Soc., 79, (1973), 857-872. Zbl0271.16002MR325662
  15. 15 - Lu C.P., Purity of linearly topological rings in overrings, J. Algebra, 59, (1979), 290-301. Zbl0413.13019MR543250
  16. 16 - Stokes M., Some dual homological results for modules over commutative rings, J. Pure Appl. Algebra, 65, (1950), 153-162; Zbl0706.18009MR1068252
  17. 17 - Warner S., Topological fields, North-Holland, Amsterdam, New York, Oxford, Tokyo, 1989. Zbl0683.12014MR1002951
  18. 18 - Warfield R.B., Purity and algebraic compactness for modules, Pacific J. Math., 28, (1969), 699-719. Zbl0172.04801MR242885

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.