Matematičeskie zametki, Tome 23 (1978) no. 4, pp. 515-520
Citer cet article
V. I. Mart'yanov. Undecidability of the theory of Abelian groups with an automorphism. Matematičeskie zametki, Tome 23 (1978) no. 4, pp. 515-520. http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a2/
@article{MZM_1978_23_4_a2,
author = {V. I. Mart'yanov},
title = {Undecidability of the theory of {Abelian} groups with an automorphism},
journal = {Matemati\v{c}eskie zametki},
pages = {515--520},
year = {1978},
volume = {23},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a2/}
}
TY - JOUR
AU - V. I. Mart'yanov
TI - Undecidability of the theory of Abelian groups with an automorphism
JO - Matematičeskie zametki
PY - 1978
SP - 515
EP - 520
VL - 23
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a2/
LA - ru
ID - MZM_1978_23_4_a2
ER -
%0 Journal Article
%A V. I. Mart'yanov
%T Undecidability of the theory of Abelian groups with an automorphism
%J Matematičeskie zametki
%D 1978
%P 515-520
%V 23
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a2/
%G ru
%F MZM_1978_23_4_a2
We prove undecidability of the elementary theories of: 1) (torsion-free) Abelian groups; 2) (Archimedean) ordered Abelian groups; 3) complete Abelian groups in the signature $\langle+,\alpha(x)=y\rangle$, where + is addition and $\alpha(x)=y$ is an automorphism of the (ordered) Abelian group.
