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Category \({\underline {\underline {X{\mathcal L}}}} (R)\) and \(X{\mathcal L}\)- groups - MaRDI portal

Category \({\underline {\underline {X{\mathcal L}}}} (R)\) and \(X{\mathcal L}\)- groups (Q1804890)

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scientific article; zbMATH DE number 751242
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Category \({\underline {\underline {X{\mathcal L}}}} (R)\) and \(X{\mathcal L}\)- groups
scientific article; zbMATH DE number 751242

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    Category \({\underline {\underline {X{\mathcal L}}}} (R)\) and \(X{\mathcal L}\)- groups (English)
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    20 February 1996
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    Let \(R\) be a commutative ring with \(1 \neq 0\). The subring of \(K_0 (R)\) generated by 1 and the torsion subgroup are studied. Among other things, it is proved that every finitely generated module over this subring is free.
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    \(K_ 0\)
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