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{\it RD}-injectivity of tensor products of modules

Volume 145 / 2016

Ali Moradzadeh-Dehkordi, Ali Zaghian Colloquium Mathematicum 145 (2016), 167-177 MSC: Primary 13D07, 13C11; Secondary 13C05. DOI: 10.4064/cm6747-1-2016 Published online: 2 May 2016

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.

Authors

  • Ali Moradzadeh-DehkordiFaculty of Basic Sciences
    University of Shahreza
    P.O. Box 86149-56841
    Shahreza, Iran
    and
    School of Mathematics
    Institute for Research in Fundamental Sciences (IPM)
    P.O. Box 19395-5746
    Tehran, Iran
    e-mail
    e-mail
  • Ali ZaghianDepartment of Mathematics and Cryptography
    Malek Ashtar University of Technology
    P.O. Box 83145-115
    Isfahan, Iran
    e-mail

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