A calculation of injective dimension over valuation domains

Paul C. Eklof; Saharon Shelah

Rendiconti del Seminario Matematico della Università di Padova (1987)

  • Volume: 78, page 279-284
  • ISSN: 0041-8994

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Eklof, Paul C., and Shelah, Saharon. "A calculation of injective dimension over valuation domains." Rendiconti del Seminario Matematico della Università di Padova 78 (1987): 279-284. <http://eudml.org/doc/108083>.

@article{Eklof1987,
author = {Eklof, Paul C., Shelah, Saharon},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {valuation domain; family of archimedean ideals; continuum hypothesis; injective dimension},
language = {eng},
pages = {279-284},
publisher = {Seminario Matematico of the University of Padua},
title = {A calculation of injective dimension over valuation domains},
url = {http://eudml.org/doc/108083},
volume = {78},
year = {1987},
}

TY - JOUR
AU - Eklof, Paul C.
AU - Shelah, Saharon
TI - A calculation of injective dimension over valuation domains
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 78
SP - 279
EP - 284
LA - eng
KW - valuation domain; family of archimedean ideals; continuum hypothesis; injective dimension
UR - http://eudml.org/doc/108083
ER -

References

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  1. [B] S. Bazzoni, Injective dimension of some divisible modules over a valuation domain, to appear in Proc. Amer. Math. Soc. Zbl0656.13013MR943045
  2. [FS] L. Fuchs - L. Salce, Modules over Valuation Domains, Marcel Dekker, 1985. Zbl0578.13004MR786121
  3. [J] T. Jech, Set Theory, Academic Press, 1978. Zbl0419.03028MR506523
  4. [O] B. Osofsky, Global dimension of valuation rings, Trans. Amer. Math. Soc., 127 (1967), pp. 136-149. Zbl0145.27602MR206074
  5. [Sh] S. Shelah, Uncountable constructions for B.A. e.c. groups and Banach spaces, Israel. J. Math., 51 (1985), pp. 273-297. Zbl0589.03012MR804487

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