# The theory of dual groups

Fundamenta Mathematicae (1994)

- Volume: 144, Issue: 2, page 129-142
- ISSN: 0016-2736

## Access Full Article

top## Abstract

top## How to cite

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

top- [1] J. Barwise, Back and forth through infinitary logic, in: Studies in Model Theory, MAA Stud. Math. 8, Math. Assoc. Amer., 1973, 5-34.
- [2] S. Chase, Function topologies on abelian groups, Illinois J. Math. 7 (1963), 593-608. Zbl0171.28703
- [3] K. Eda and H. Ohta, On abelian groups of integer-valued continuous functions, their ℤ-duals and ℤ-reflexivity, in: Abelian Group Theory, Proc. Third Conf. Oberwolfach, Gordon & Breach, 1987, 241-257.
- [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- [7] G. Reid, Almost Free Abelian Groups, lecture notes, Tulane University, unpublished, 1968.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

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.