15Oct 2016

QUASI-INJECTIVE GAMMA MODULES.

  • Department of Mathematics, College of Science, Al-Mustansiriyah University, Iraq.
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In this paper we introduce the concept of quasi-injective gamma modules asa proper generalization of injective gamma modules and quasi-injective modules. AnR_?- module M is called quasi-injective if for any R_?-submodule A of MandR_?- homomorphism f from A to Mthere is anR_?-endomorphism of M which extends f. We are extending some results from module theory to gamma module theory, we established that every? R?_?- module has quasi-injective hull which is unique up to isomorphism. Morever, if M is quasi-injective, then(End_(R_? ) (M) )?(J(End_(R_? ) (M))) is regular?- ring.

[Mehdi S. Abbas, Saad Abdulkadhim Al-Saadi and Emad Allawi Shallal. (2016); QUASI-INJECTIVE GAMMA MODULES. Int. J. of Adv. Res. 4 (Oct). 327-333] (ISSN 2320-5407). www.journalijar.com

Mehdi S. Abbas

DOI:

Article DOI: 10.21474/IJAR01/1794      
DOI URL: http://dx.doi.org/10.21474/IJAR01/1794

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