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Rings on abelian MT-groups - MaRDI portal

Rings on abelian MT-groups (Q6597858)

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scientific article; zbMATH DE number 7906278
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Rings on abelian MT-groups
scientific article; zbMATH DE number 7906278

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    Rings on abelian MT-groups (English)
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    4 September 2024
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    A mixed abelian group \(G\) is called an MT-group if every multiplication on the torsion part of \(G\) uniquely extends to a multiplication on \(G\). The absolute Jacobson radical and the absolute nil-radical of MT-groups are described in terms some functions which were early introduced by \textit{E. H. Toubassi} at al. [Publ. Math. Debr. 20, 63--71 (1973; Zbl 0278.20054)].
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    multiplication on an abelian group
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    MT-groups
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    absolute Jacobson radical
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    absolute nil-radical
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