Butler groups of infinite rank
Czechoslovak Mathematical Journal (1994)
- Volume: 44, Issue: 1, page 67-79
- ISSN: 0011-4642
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topBican, Ladislav. "Butler groups of infinite rank." Czechoslovak Mathematical Journal 44.1 (1994): 67-79. <http://eudml.org/doc/31394>.
@article{Bican1994,
author = {Bican, Ladislav},
journal = {Czechoslovak Mathematical Journal},
keywords = {Butler groups; separative subgroups; -groups; -groups; Continuum Hypothesis; ; balanced extension; continuous well-ordered ascending chain; pure subgroups; finite rank completely decomposable group; separative chain; smooth ascending chain of pure subgroups; prebalanced subgroup; smooth preseparative chain},
language = {eng},
number = {1},
pages = {67-79},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Butler groups of infinite rank},
url = {http://eudml.org/doc/31394},
volume = {44},
year = {1994},
}
TY - JOUR
AU - Bican, Ladislav
TI - Butler groups of infinite rank
JO - Czechoslovak Mathematical Journal
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 1
SP - 67
EP - 79
LA - eng
KW - Butler groups; separative subgroups; -groups; -groups; Continuum Hypothesis; ; balanced extension; continuous well-ordered ascending chain; pure subgroups; finite rank completely decomposable group; separative chain; smooth ascending chain of pure subgroups; prebalanced subgroup; smooth preseparative chain
UR - http://eudml.org/doc/31394
ER -
References
top- Butler groups of infinite rank and axiom 3, Czech. Math. J. 37 (1987), 293–309. (1987) MR0882600
- Splitting in abelian groups, Czech. Math. J. 28 (1978), 356–364. (1978) Zbl0421.20022MR0480778
- Purely finitely generated groups, Comment. Math. Univ. Carolinae 21 (1980), 209–218. (1980) MR0580678
- Pure subgroups of Butler groups, Proceedings of the Udine Conference April 1984, R. Göbel, at al. CISM Courses and Lectures no. 287 (eds.), Springer Verlag, Wien-New York, pp. 203–213. Zbl0569.20045MR0789818
- On a class of locally Butler groups, Comment. Math. Univ. Carolinae 32 (1991), 597–600. (1991) Zbl0748.20029MR1159805
- 10.1016/0022-4049(92)90106-P, J. Pure Appl. Algebra 78 (1992), 221–238. (1992) MR1163276DOI10.1016/0022-4049(92)90106-P
- Subgroups of Butler groups. To appear, . MR1261020
- Infinite rank Butler groups, Proc. Abelian Group Theory Conference, Honolulu, Lecture Notes in Math. vol. 1006, Springer-Verlag, 1983, pp. 171–189. (1983) MR0722617
- A class of torsion-free abelian groups of finite rank, Proc. London Math. Soc. 15 (1965), 680–698. (1965) Zbl0131.02501MR0218446
- Infinite rank Butler groups II, Trans. Amer. Math. Soc. 320 (1990), 643–664. (1990) MR0963246
- 10.1090/S0002-9947-1988-0920150-X, Trans. Amer. Math. Soc. 305 (1988), 129–142. (1988) MR0920150DOI10.1090/S0002-9947-1988-0920150-X
- 10.1515/form.1991.3.23, Forum Math. 3 (1991), 23–33. (1991) MR1085593DOI10.1515/form.1991.3.23
- Infinite Abelian groups, vol. I and II, Academic Press, New York, 1973 and 1977. (1973 and 1977) MR0255673
- Infinite rank Butler groups, Preprint.
- Butler groups of arbitrary cardinality. To appear, . MR1244670
- 10.1090/conm/130/1176115, Contemporary Math. 130 (1992), 133–143. (1992) MR1176115DOI10.1090/conm/130/1176115
- 10.1017/S0004972700017901, Bull. Austral. Math. Soc. 41 (1990), 117–122. (1990) MR1043972DOI10.1017/S0004972700017901
- 10.1007/BF02483879, Algebra Universalis 12 (1981), 205–220. (1981) Zbl0476.03039MR0608664DOI10.1007/BF02483879
- 10.1007/BF01191177, Arch. Comment. Math. 42 (1984), 208–213. (1984) Zbl0528.20040MR0751497DOI10.1007/BF01191177
- Butler groups, valuated vector spaces and duality, Rend. Sem. Mat. Univ. Padova 72 (1984), 13–19. (1984) Zbl0576.20033MR0778329
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