Almost completely decomposable groups with primary regulator quotients and their endomorphism rings (Q950822)

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scientific article; zbMATH DE number 5358139
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Almost completely decomposable groups with primary regulator quotients and their endomorphism rings
scientific article; zbMATH DE number 5358139

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    Almost completely decomposable groups with primary regulator quotients and their endomorphism rings (English)
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    28 October 2008
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    Block rigid almost completely decomposable groups have been intensively studied because they comprise one of the few classes of torsion-free Abelian groups for which classification is feasible. The author is a leading researcher in this area, and in this paper she concentrates on an amenable subclass consisting of groups whose critical typeset is an anti-chain of ring types and whose regulator quotient is primary. She constructs and analyzes the endomorphism rings of the groups in this class.
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    almost completely decomposable block rigid torsion-free Abelian groups
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    commutative rings
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    additive groups of rings
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    endomorphism rings
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    primary regulator quotients
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    critical typesets
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