On chains of purely transcendental field extensions

G. G. Bastos; L. Fuchs; T. M. Viswanathan

Rendiconti del Seminario Matematico della Università di Padova (1990)

  • Volume: 83, page 171-175
  • ISSN: 0041-8994

How to cite

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Bastos, G. G., Fuchs, L., and Viswanathan, T. M.. "On chains of purely transcendental field extensions." Rendiconti del Seminario Matematico della Università di Padova 83 (1990): 171-175. <http://eudml.org/doc/108174>.

@article{Bastos1990,
author = {Bastos, G. G., Fuchs, L., Viswanathan, T. M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {ascending chain; purely transcendental extensions},
language = {eng},
pages = {171-175},
publisher = {Seminario Matematico of the University of Padua},
title = {On chains of purely transcendental field extensions},
url = {http://eudml.org/doc/108174},
volume = {83},
year = {1990},
}

TY - JOUR
AU - Bastos, G. G.
AU - Fuchs, L.
AU - Viswanathan, T. M.
TI - On chains of purely transcendental field extensions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1990
PB - Seminario Matematico of the University of Padua
VL - 83
SP - 171
EP - 175
LA - eng
KW - ascending chain; purely transcendental extensions
UR - http://eudml.org/doc/108174
ER -

References

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  1. [1] D.F. Anderson - J. Ohm, Valuations and semi-valuations of graded domains, Math. Ann., 256 (1981), pp. 145-156. Zbl0442.13002MR620705
  2. [2] G.G. Bastos - T. M. VISWANATHAN, Torsion-free abelian groups, valuations, and twisted group rings, Can. Math. Bull., 31 (1988), pp. 139-146. Zbl0656.20061MR942063
  3. [3] P. Eklof, Whitehead's problem is undecidable, Amer. Math. Monthly, 83 (1976), pp. 775-778. Zbl0354.20037MR476511
  4. [4] J. Gregory, HigherSouslin trees and the generalized continuum hypothesis, J. Symbolic Logic, 41 (1976), pp. 663-671. Zbl0347.02044MR485361
  5. [5] P. Hill, On the freeness of abelian groups : A generalization of Pontryagin's theorem, Bull. Amer. Math. Soc., 76 (1970), pp. 1118-1120. Zbl0223.20058MR263919
  6. [6] W. Hodges, In singular cardinality, locally free algebras are free, Alg. Universalis, 12 (1981), pp. 205-220. Zbl0476.03039MR608664
  7. [7] T. Jech, Set Theory, Academic Press, New York, 1978. Zbl0419.03028MR506523

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