The theory of dual groups
Fundamenta Mathematicae (1994)
- Volume: 144, Issue: 2, page 129-142
- ISSN: 0016-2736
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topMekler, A., and Schlitt, G.. "The theory of dual groups." Fundamenta Mathematicae 144.2 (1994): 129-142. <http://eudml.org/doc/212019>.
@article{Mekler1994,
abstract = {We study the $L_\{∞, w\}$-theory of sequences of dual groups and give a complete classification of the $L_\{∞, w\}$-elementary classes by finding simple invariants for them. We show that nonstandard models exist.},
author = {Mekler, A., Schlitt, G.},
journal = {Fundamenta Mathematicae},
keywords = {length rank; undecidable first order theory; -theory; sequences of dual groups; long sequences; short sequences},
language = {eng},
number = {2},
pages = {129-142},
title = {The theory of dual groups},
url = {http://eudml.org/doc/212019},
volume = {144},
year = {1994},
}
TY - JOUR
AU - Mekler, A.
AU - Schlitt, G.
TI - The theory of dual groups
JO - Fundamenta Mathematicae
PY - 1994
VL - 144
IS - 2
SP - 129
EP - 142
AB - We study the $L_{∞, w}$-theory of sequences of dual groups and give a complete classification of the $L_{∞, w}$-elementary classes by finding simple invariants for them. We show that nonstandard models exist.
LA - eng
KW - length rank; undecidable first order theory; -theory; sequences of dual groups; long sequences; short sequences
UR - http://eudml.org/doc/212019
ER -
References
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- [4] P. Eklof and A. Mekler, Almost Free Modules, North-Holland, 1990.
- [5] P. Eklof, A. Mekler and S. Shelah, On strongly-non-reflexive groups, Israel J. Math. 59 (1987), 283-298. Zbl0643.20034
- [6] E. Ellentuck, Categoricity regained, J. Symbolic Logic 41 (1976), 639-643. Zbl0344.02037
- [7] G. Reid, Almost Free Abelian Groups, lecture notes, Tulane University, unpublished, 1968.
- [8] G. Schlitt, Sheaves of abelian groups and the quotients A**/A, J. Algebra 158 (1993), 50-60. Zbl0791.20064
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