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A Note on Additive Groups of Some Specific Associative Rings

100%

Woronowicz M.

Annales Mathematicae Silesianae

2016

tom 30

nr 1

219-229

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.

Bernstein sets with algebraic properties

61%

Kysiak M.

Open Mathematics

2009

tom 7

nr 4

725-731

We construct Bernstein sets in ℝ having some additional algebraic properties. In particular, solving a problem of Kraszewski, Rałowski, Szczepaniak and Żeberski, we construct a Bernstein set which is a < c-covering and improve some other results of Rałowski, Szczepaniak and Żeberski on nonmeasurable sets.

Ograniczanie wyników

1 Annales Mathematicae Silesianae

1 Open Mathematics

1 Kysiak M.

1 Woronowicz M.

1 2016

1 2009

Wyniki wyszukiwania

A Note on Additive Groups of Some Specific Associative Rings

Bernstein sets with algebraic properties