On Associative Ring Multiplication on Abelian Mixed Groups

An abelian group is called a mixed one if it is neither torsion nor torsion-free. It is to be proved that every mixed group can be provided with a nonzero associative ring structure. Our methods of proofs are straightforward and elementary.

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Bibliographic Details
Published inCommunications in algebra Vol. 42; no. 9; pp. 3760 - 3767
Main Authors Andruszkiewicz, R. R., Woronowicz, M.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 02.09.2014
Subjects
Algebra
Associative
Associative ring multiplication
Group theory
Mixed group
Multiplication
Proving
Ring structures
Rings (mathematics)
Torsion
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Summary:An abelian group is called a mixed one if it is neither torsion nor torsion-free. It is to be proved that every mixed group can be provided with a nonzero associative ring structure. Our methods of proofs are straightforward and elementary.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2013.793697