A homological algebra for valuated groups

Temple H. Fay

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1981)

  • Volume: 22, Issue: 4, page 439-452
  • ISSN: 1245-530X

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Fay, Temple H.. "A homological algebra for valuated groups." Cahiers de Topologie et Géométrie Différentielle Catégoriques 22.4 (1981): 439-452. <http://eudml.org/doc/91285>.

@article{Fay1981,
author = {Fay, Temple H.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Hom; Ext; Tor; preabelian category; valuated abelian groups; valuated group morphisms; tensor product; exact sequences},
language = {eng},
number = {4},
pages = {439-452},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A homological algebra for valuated groups},
url = {http://eudml.org/doc/91285},
volume = {22},
year = {1981},
}

TY - JOUR
AU - Fay, Temple H.
TI - A homological algebra for valuated groups
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1981
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 22
IS - 4
SP - 439
EP - 452
LA - eng
KW - Hom; Ext; Tor; preabelian category; valuated abelian groups; valuated group morphisms; tensor product; exact sequences
UR - http://eudml.org/doc/91285
ER -

References

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  1. 0 D. Arnold, R. Hunter & F. Richman, Global Azumaya Theorems in additive categories, J. Pure & Appl. Algebra, to appear. Zbl0443.18014MR558485
  2. 1 Y.S. Cooper, Finite valuated groups, Lecture Notes in Math.616, Springer (1977), 124-139. Zbl0443.20047MR486209
  3. 2 Y.S. Cooper, Stable sequences in pre-abelian categories, Pac. J. Math., to appear. Zbl0469.18011MR615675
  4. 3 L. Fuchs, Infinite abelian groups, Vols. I, II, Academic Press, 1970, 1973. Zbl0209.05503MR255673
  5. 4 P. Hilton& U. Stammb Ach, A course in homological alge bra, Springer1971. Zbl0238.18006MR346025
  6. 5 S. Maclane, Homology, Springer, 1963. Zbl0133.26502MR349792
  7. 6 F. Richman, Computing heights in Tor, Houston J. Math.3 (1977), 267-270. Zbl0357.02032MR486205
  8. 7 F. Richman, A guide on valuatedl groups, Lecture Notes in Math.616, Springer (1977), 73-86. Zbl0372.20040MR480779
  9. 8 F. Richman& E.A. Walker, Valuated groups, J. Algebra56 (1979), 145. Zbl0401.20049MR527162
  10. 9 F. Richman& E.A. Walker, Ext in pre-abelian categories, Pac. J. Math.71 (1977), 521-535. Zbl0354.18018MR444742
  11. 10 R.O. St Anton, Almost-affable abelian groups, J. Pure & Appl. Algebra15 (1979), 41-52. Zbl0407.20044MR532962

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