Geodesic
{\it RD}-injectivity of tensor products of modules
Ali Moradzadeh-Dehkordi1 ; Ali Zaghian2
1 Faculty 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
2 Department of Mathematics and Cryptography Malek Ashtar University of Technology P.O. Box 83145-115 Isfahan, Iran
Colloquium Mathematicum, Tome 145 (2016) no. 2, pp. 167-177.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm6747-1-2016
Keywords: classical question due yoneda tensor product injective modules injective enochs jenda gave complete explicit answer question since rd injective modules generalization injective modules natural ask whether tensor product rd injective modules rd injective paper question

Ali Moradzadeh-Dehkordi 1 ; Ali Zaghian 2

1 Faculty 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
2 Department of Mathematics and Cryptography Malek Ashtar University of Technology P.O. Box 83145-115 Isfahan, Iran 
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Ali Moradzadeh-Dehkordi; Ali Zaghian. {\it RD}-injectivity of tensor products of modules. Colloquium Mathematicum, Tome 145 (2016) no. 2, pp. 167-177. doi : 10.4064/cm6747-1-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm6747-1-2016/

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