About the element-subgroup theory of Abelian groups
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 3, pp. 99-109
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The solvability of the theory of element-subgroup of Abelian torsion-free groups with universal quantifiers over the elements and arbitrary quantifiers over subgroups is proved.
Keywords:
model theory, elementary theories decidability.
@article{IIGUM_2011_4_3_a8,
author = {V. I. Martyanov},
title = {About the element-subgroup theory of {Abelian} groups},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {99--109},
year = {2011},
volume = {4},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2011_4_3_a8/}
}
V. I. Martyanov. About the element-subgroup theory of Abelian groups. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 3, pp. 99-109. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_3_a8/
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