Butler groups, valuated vector spaces, and duality

Fred Richman

Rendiconti del Seminario Matematico della Università di Padova (1984)

  • Volume: 72, page 13-19
  • ISSN: 0041-8994

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Richman, Fred. "Butler groups, valuated vector spaces, and duality." Rendiconti del Seminario Matematico della Università di Padova 72 (1984): 13-19. <http://eudml.org/doc/107947>.

@article{Richman1984,
author = {Richman, Fred},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {valuated vector spaces; finite distributive lattice; finite-dimensional vector space; duality; completely decomposable T-space; Butler groups; semi-balanced extensions; pure subgroup; rank one subgroups; quasi- homomorphisms},
language = {eng},
pages = {13-19},
publisher = {Seminario Matematico of the University of Padua},
title = {Butler groups, valuated vector spaces, and duality},
url = {http://eudml.org/doc/107947},
volume = {72},
year = {1984},
}

TY - JOUR
AU - Richman, Fred
TI - Butler groups, valuated vector spaces, and duality
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1984
PB - Seminario Matematico of the University of Padua
VL - 72
SP - 13
EP - 19
LA - eng
KW - valuated vector spaces; finite distributive lattice; finite-dimensional vector space; duality; completely decomposable T-space; Butler groups; semi-balanced extensions; pure subgroup; rank one subgroups; quasi- homomorphisms
UR - http://eudml.org/doc/107947
ER -

References

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  1. [ARNL] Arnold D.M., Pure subgroups of completely decomposable groups, Abelian group theory, Lecture Notes in Mathematics874, Springer-Verlag, Heidelberg (1981), pp. 1-31. Zbl0466.20030MR645913
  2. [BTLR1] Butler M.C.R., A class of torsion-free abelian groups of finite rank, Proc. London Math. Soc., 15 (1965), pp. 680-698. Zbl0131.02501MR218446
  3. [BTLR2] Butler M.C.R., Torsion-free modules and diagrams of vector spaces, Proc. London Math. Soc., 18 (1968), pp. 635-652. Zbl0179.32603MR230767
  4. [CD] Crawley P. - R.P. Dilworth, Algebraic theory of lattices, Prentice-Hall (1973). Zbl0494.06001
  5. [LADY] Lady E.L., Extensions of scalars for torsion free modules over Dedekind domains, Ist. Naz. Alta Mat. Symp. Math., 23 (1979), pp. 287-305. Zbl0425.13001MR565611
  6. [RW] Richman F. - E.A. Walker, Ext in pre-abelian categories, Pacific J. Math., 71 (1977), pp. 521-535. Zbl0354.18018MR444742

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