This article is cited in 1 paper

On constructivizability of the tensor product of modules

I. V. Latkin

East Kazakhstan State Technical University named after D. Serikbayev

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.

UDC: 512.54.02+510.5

Received: 17.05.2000

 English version: Siberian Mathematical Journal, 2002, 43:2, 330–333

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