Type:
RD-injectivity of tensor products of modules
Journal: Colloquium Mathematicum (00101354)Year: 2016Volume: 145Issue: Pages: 167 - 177
Moradzadehdehkordi A.aZaghian, Ali
DOI:10.4064/cm6747-1-2016Language: English
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.
Author Keywords
Finitely presented modulePure-semisimple ringQuasi-Frobenius ringRD-injective moduleTensor product