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On Constructivizibility of the Tensor Product of Modules

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Abstract

We introduce the notion of a ring with the condition of constructivizable modules in some class and study the simplest properties of such rings. We find a sufficient test for constructivizibility of the tensor product of modules. We also prove that there exist such modules whose tensor product over the ring of integers is not constructivizable.

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Latkin, I.V. On Constructivizibility of the Tensor Product of Modules. Siberian Mathematical Journal 43, 330–333 (2002). https://doi.org/10.1023/A:1014701306542

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  • DOI: https://doi.org/10.1023/A:1014701306542

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