Document Type : Research Paper
Authors
Tikrit University-Education College
10.37652/juaps.2010.15385
Abstract
Abstract: In this work, we introduce the concept of pseudo-extending modules as a generalization of extending modules. Many characterization, and properties of pseudo-extending module are obtained. Characterizations of pseudo-extending module in some classes of modules are given. Modules imply pseudo-extending module are studied.
Keywords
Main Subjects
[1]. Abbas, M.S." On fully stable modules" Ph.D. Thesis, Univ. of Baghdad 1991.
[2].Al- Saadi, A.A." S-Extending modules and related concepts" Ph.D. Thesis Univ. of Al-Mustansiriya, 2007.
[3]. Dung, N. V. , Huynh, D.V., Smith, P.F., and Wisbaure, R. " Extending modules" Pitman Research Note in mathematics Series, 313 1994.
[4]. Goodearl, K.R. " Ring theory" Marcel Dekker, New York 1976.
[5].Harada, M. " On modules with extending property" Osaka J. Math. 19 (1982).
[6]. Kaplansky, I. " Infinite abelian groups" Ann. Arhor, Univ. of Michigan, press.
1954.
[7]. Kasch, F. " Modules and rings" Academic Press. London, 1982.
[8]. Lam, T.Y " Lecture on modules and rings" Springer Verlage New York 1998.
[9]. Mohamed, S. H. and Muller, B. J. " Continuous and discrete modules" London Math. Soc. , LN.147, Cambridge Univ. 1990.
[10]. Nicholson, W.K. " Semi-regular modules and rings" Canad. J. Math., 28 (1976), 1105-1120.
[11]. Rowen, L.H. " Rings theory " Academic press. INC., 1991.
[12]. Sharp, D.W. and Vamos, P. " Injective modules" Cambridge Univ. Press. 1972.
[13]. Wisbauer, R. " Foundation of modules and rings theory" Gordon and Breac
)
