ON M-C-INJECTIVE AND SELF-C-INJECTIVE MODULES-Reference-Cited by-同舟云学术

ON M-C-INJECTIVE AND SELF-C-INJECTIVE MODULES

Published:2010-09 Issue:03 Volume:03 Page:387-393
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Chaturvedi A. K.¹,Pandeya B. M.²,Tripathi A. M.³,Mishra O. P.⁴

Affiliation:

1. Department of Mathematics, Jaypee Institute of Information Technology, Deemed University, A-10, Sector-62, Noida-201307 (UP), India

2. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi–221005, India

3. Department of Mathematics, Banaras Hindu University, Varanasi–221005, India

4. Department of Mathematics, University of Allahabad, Allahabad, India

Abstract

Let M1 and M2 be two R-modules. Then M2 is called M1-c-injective if every homomorphism α from K to M2, where K is a closed submodule of M1, can be extended to a homomorphism β from M1 to M2. An R-module M is called self-c-injective if M is M-c-injective. For a projective module M, it has been proved that the factor module of an M -c-injective module is M -c-injective if and only if every closed submodule of M is projective. A characterization of self-c-injective modules in terms endomorphism ring of an R-module satisfying the CM-property is given.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557110000362

Reference10 articles.

1. C. S. Clara and P. F. Smith, Contemporary of Mathematics 259 (Amer. Math. Soc., Providence, 2000) pp. 487–499.

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