RD-injectivity of tensor products of modules

Abstract

A classical question due to Yoneda is, “When is the tensor product of any two injective modules injective?” Enochs and Jenda gave a complete and explicit answer to this question in 1991. Since RD-injective modules are a generalization of injective modules, it is natural to ask whether the tensor product of any two RD-injective modules is RD-injective. In this paper we deal with this question. © Instytut Matematyczny PAN, 2016.