A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three

• Autorzy: Mateusz Woronowicz
• Języki publikacji: EN

Abstrakty

EN

A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian group is described (in both cases of associative and general rings). It is shown that for any such a group A, the quotient group modulo the square subgroup of A is a nil-group. Some results listed in [16] are generalized and corrected. Moreover, it is proved that for a given abelian group A, the square subgroup of A considered in the class of associative rings, is a characteristic subgroup of A. (original abstract)

Słowa kluczowe

EN

Mathematics; Entropy

PL

Matematyka; Entropia

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2018
• Tom: 32
• Strony: 319--331

Twórcy

autor

Mateusz Woronowicz

• University of Bialystok, Poland

Bibliografia

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Identyfikatory

DOI

10.1515/amsil-2017-0009