Square subgroups of rank two abelian groups

A. M. Aghdam, and A. Najafizadeh. "Square subgroups of rank two abelian groups." Colloquium Mathematicae 117.1 (2009): 19-28. <http://eudml.org/doc/284004>.

@article{A2009,
abstract = {Let G be an abelian group and ◻ G its square subgroup as defined in the introduction. We show that the square subgroup of a non-homogeneous and indecomposable torsion-free group G of rank two is a pure subgroup of G and that G/◻ G is a nil group.},
author = {A. M. Aghdam, A. Najafizadeh},
journal = {Colloquium Mathematicae},
keywords = {ring structures; nil rings; additive groups of rings; nil groups; square subgroups; ring multiplications; typesets},
language = {eng},
number = {1},
pages = {19-28},
title = {Square subgroups of rank two abelian groups},
url = {http://eudml.org/doc/284004},
volume = {117},
year = {2009},
}

TY - JOUR
AU - A. M. Aghdam
AU - A. Najafizadeh
TI - Square subgroups of rank two abelian groups
JO - Colloquium Mathematicae
PY - 2009
VL - 117
IS - 1
SP - 19
EP - 28
AB - Let G be an abelian group and ◻ G its square subgroup as defined in the introduction. We show that the square subgroup of a non-homogeneous and indecomposable torsion-free group G of rank two is a pure subgroup of G and that G/◻ G is a nil group.
LA - eng
KW - ring structures; nil rings; additive groups of rings; nil groups; square subgroups; ring multiplications; typesets
UR - http://eudml.org/doc/284004
ER -