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Non-fissile rings with mixed additive group - MaRDI portal

Non-fissile rings with mixed additive group (Q1070020)

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scientific article; zbMATH DE number 3933257
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Non-fissile rings with mixed additive group
scientific article; zbMATH DE number 3933257

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    Non-fissile rings with mixed additive group (English)
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    1985
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    The author answers a question posed by S. Feigelstock: Let G be a mixed abelian group such that for some prime p, G has nontrivial p-component and the torsion-free factor group of G is not p-divisible. Then there exists an associative commutative ring R whose additive group is G such that the torsion subgroup of G is not a ring direct summand of R.
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    mixed abelian group
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    additive group
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