Strongly Lifting Modules

Najmaddin H. Gareeb

College of Science Education, University of Sulaimani

DOI: https://doi.org/10.17656/jzs.10222

Abstract:

In this paper we introduce the new concept of lifting modules, namely strongly lifting modules. Various properties and characterizations of strongly lifting modules are established and the relation between this type of module and some other known modules are discussed. 

References: 

1-  Kasch F., Modules and Rings, Acad. Press, London.

2-  Payman Mahmood, Hollow Modules and Semihollw Modules, M.sc. Thesis, University of Baghdad, (2005).

3-  Anderson F.W. and Fuller K.R., Rings and Categories of modules, Springer-Verlag, NewYork, (1992).

4-  Keskin D. and Lomp C., On Special lifting modules, Controlled Mathematic, (2000).

5-  Keskin D., On lifting modules, Comm. Algebra , 28 (7), 3427-3440, (2000). [6] Y. Talebi and T. Amoozegar, Strongly FI-lifting modules, International Electronic Journal of Algebra, 3, 75-82, (2008).

7- Yongduo Wang and Nanqing Ding, Generalized lifting Modules, International Journal of Mathematics and Mathematical Sciences , 1-9, Article ID 47390, (2006).  

View Full Article