Pure-injectivity of Tensor Products of Modules-Reference-Cited by-同舟云学术

Pure-injectivity of Tensor Products of Modules

Published:2014-01-20 Issue:01 Volume:21 Page:151-156
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Pournaki M. R.¹²,Torrecillas B.³,Tousi M.⁴²,Yassemi S.⁵²

Affiliation:

1. Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11155-9415, Tehran, Iran

2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

3. Department of Algebra and Mathematical Analysis, University of Almeria, 04071 Almeria, Spain

4. Department of Mathematics, Shahid Beheshti University G.C., Evin, Tehran 19834, Iran

5. School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran

Abstract

A classical question of Yoneda asks when the tensor product of two injective modules is injective. A complete answer to this question was given by Enochs and Jenda in 1991. In this paper the analogue question for pure-injective modules is studied.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S100538671400011X

Reference11 articles.

1. Injective hulls of flat modules

2. Two characterizations of pure injective modules

3. Tensor and torsion products of injective modules

4. Endomorphism rings and tensor products of linearly compact modules

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