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.(original abstract)

Słowa kluczowe

EN

Mathematics; Algebra; Groups theory

PL

Matematyka; Algebra; Teoria grup

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2016
• Tom: 30
• Strony: 219--229

Twórcy

autor

Mateusz Woronowicz

• University of Bialystok, Poland

Bibliografia

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Identyfikatory

DOI

10.1515/amsil-2015-0013