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FP-Modules and Related Concepts | ||
| Journal of University of Anbar for Pure Science | ||
| Article 19, Volume 4, Issue 3, 2010, Pages 73-80 PDF (456.54 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2010.15550 | ||
| Authors | ||
| Marrwa Abdall Salih1; Nagham Ali Hussein1; Karim S.Kalaf2 | ||
| 1Tikrit University - College of Education | ||
| 2Universtiy of Anbar - College of scince | ||
| Abstract | ||
| Abstract ;In this work, we introduce the concept of FP-Module as a generalization of the concept Q-Module. Many characterizations and properties of FP-Modules are obtained. We investigate conditions for FP-Modules to be Q-Modules. Modules which are related to FP-Modules are studied. Some classes of modules which are FP-Modules are given. Furthermore, characterizations of FP-Modules in some classes of modules are obtained. | ||
| Keywords | ||
| Module; generalization | ||
| References | ||
|
[1]. Abbas, M.S. “On fully stable modules” Ph.D., thesis, Univ. of Baghdad, (1990)
[2]. Al-Awadi, H. K. “ Anti-hopfain modules and restricted Anti-hopfain modules” M. Sc. thesis College of Sci., Univ. of Baghdad (2000).
[3]. Barnard, A. “Multiplication modules” J. of Algebra 71, (1981) 174-178.
[4]. Bharadwaj, P. C. and Tiwary, A. K. “ Pseudo-Injective Modules’ Bull. Math. Dela Soc., Sci. Math. Dela. R.S. de Roumane. 26, (74) No. 1, (1982).
[5]. El-Bast, Z.A. and Smith, P. F. “Multiplication modules” Comm. In algebra, 16 (4), (1988), 755-795.
[6]. Goodearl, K. R. “Ring theory” Marcel Dekker, New York (1976).
[7]. Hirano, Y. and Mogami, I. “ Module whose proper submodules are non-hopf kernals” Comm. In algebra, 15 (8), (1987), 1545-1567.
[8]. Jain, s. K. and Singh, S. “ Quasi-injective and pseudo-injective modules” Canad. Math. Bull. 18(3), (1975), 359-366.
[9]. Johnson, R. E. and Wong. E. T. “ Quasi-injective modules and irreducible rings” J. London Math. Soc., 39, (1961), 260-268.
[10]. Lam, T. Y. “Lecture on Modules and Rings” Springer Verlage New York (1998).
[11]. Mijbass, A.S. “Quasi-Dedekind modules” Ph.D thesis, .Univ. of Baghdad (1997).
[12]. Mohamadali, H. K. “ Q-modules” Ph.D. thesis , Tikrit Univ. (2005).
[13]. Naoum, A. G. and Al-Aubady, W. K. “A note on multiplication modules and their rings of endomorphisms” Kyungpook, Math. J., 35 (1995), 223-228.
[14]. Saharp, D. W. and Vamous, P. “ Injective modules” Cambridge Univ. Press (1972).
[15]. Singh, S. and Jain, S. K. “On pseudo-injective modules and Self-pseudo-Injective Rings” J. of Math. Sci., 2 ,(1967).
[16]. Singh, S. and Wason., K. “Pseudo-injective modules over commutative rings” J. of Indian math. Soc. 34, (1970)
[17]. Storrer, H. H. “ On Goldmen’s primary decomposition” Lecture note in Math; 246 Springer Verlage , New York (1972).
[18]. Weakly, W. D. “ Modules whose distinct submodule are not isomorphic” Comm. Algebra, 15, (1987), 1569-1587. | ||
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