Ec-CLS-modules

Sahira M.Yaseen, Mona H. Abd-ALrazak

Abstract


In this not we consider  generalization of the notion of y-closed submoduleand CLS-module called y-ec-closed submodule and an Ec-CLS-module respectively. And westudy the properties of this kind of module. Alsowe study the direct sum of an Ec-CLS-module.


Keywords


y-closed submodule; Extending andCLS-modules.

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References


Goodearl, K.R. 1976.Ring theory,Non singular rings and modules. Marcel Dekker,New York.

M.A.Kamal and O.A.Elmnophy,2005, On p-Extending Modules, Acta Math. Univ. Comenianac, Vol. LXXIV, P.125-133.

Yongdue Wang, When an y-closed submodule is a direct summand, MathR.A.,2010.

B.AL-Bahrany, H.S. Lamyaa, Extending, Injactivity and chain condition on Y-closed submodules. M.Sc.Thesis, Collage of Science, University of Baghdad, (2012).

A. A. .Ahmed, On submodules of multiplication modules, M.Sc.Thesis, Department of Mathematics, Collage of science, University of Baghdad, Baghdad, Iraq, 1992.

Dung,N.V . Huynh,D.V. Smith,P.F and Wisbauer,R.1994.Extending Modules. Pitman Research Notes in Mathematics Series 313,Longman, NewYork.

M.S. Abbas, M.S.1991. On fully stable modules. Ph.D. Thesis. Department of Mathematics, College of Science, University of Baghdad. Baghdad, Iraq.


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