A Note on Additive Groups of Some Specific Associative Rings

• Autorzy: Mateusz Woronowicz
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

nil-groups; ideals; associative rings

Kategorie tematyczne

• 20K99: None of the above, but in this section

• Wydawca: De Gruyter Open
• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2016
• Tom: 30
• Numer: 1
• Strony: 219-229

Daty

wydano

2016-09-01

otrzymano

2015-03-04

poprawiono

2015-10-05

zaakceptowano

2015-10-07

online

2016-09-23

Twórcy

autor

Mateusz Woronowicz

• Institute of Mathematics, University of Białystok, Ciołkowskiego 1M, 15-267 Białystok,

Identyfikatory

DOI

10.1515/amsil-2015-0013