A Note on Additive Groups of Some Specific Associative Rings

Mateusz Woronowicz. "A Note on Additive Groups of Some Specific Associative Rings." Annales Mathematicae Silesianae 30.1 (2016): 219-229. <http://eudml.org/doc/286757>.

@article{MateuszWoronowicz2016,
abstract = {Almost complete description of abelian groups (A, +, 0) such that every associative ring R with the additive group A satisfies the condition: every subgroup of A is an ideal of R, is given. Some new results for SR-groups in the case of associative rings are also achieved. The characterization of abelian torsion-free groups of rank one and their direct sums which are not nil-groups is complemented using only elementary methods.},
author = {Mateusz Woronowicz},
journal = {Annales Mathematicae Silesianae},
keywords = {nil-groups; ideals; associative rings},
language = {eng},
number = {1},
pages = {219-229},
title = {A Note on Additive Groups of Some Specific Associative Rings},
url = {http://eudml.org/doc/286757},
volume = {30},
year = {2016},
}

TY - JOUR
AU - Mateusz Woronowicz
TI - A Note on Additive Groups of Some Specific Associative Rings
JO - Annales Mathematicae Silesianae
PY - 2016
VL - 30
IS - 1
SP - 219
EP - 229
AB - Almost complete description of abelian groups (A, +, 0) such that every associative ring R with the additive group A satisfies the condition: every subgroup of A is an ideal of R, is given. Some new results for SR-groups in the case of associative rings are also achieved. The characterization of abelian torsion-free groups of rank one and their direct sums which are not nil-groups is complemented using only elementary methods.
LA - eng
KW - nil-groups; ideals; associative rings
UR - http://eudml.org/doc/286757
ER -