Purely Lifting Module

Authors

  • Najmaddin H. Gareeb College of Science, University of Sulaimani, Kurdistan Region, Iraq. Author
  • Bahar H. Al-Bahraany College of Science, University of Sulaimani, Kurdistan Region, Iraq. Author

DOI:

https://doi.org/10.17656/jzs.10169

Keywords:

Pure and small sub-modules, Lifting, Regular, Hollow, Multiplication, Prime, Faithful, Cancellation modules

Abstract

In this paper we will generalize the concept of a lifting module. various properties and characterizations of a general case; the pure lifting module, are established and some other known results has been generalized

References

D. Keskin, on lifting modules, Comm. Algebra 2000, 28 (7), 3427-3440. DOI: https://doi.org/10.1080/00927870008827034

D.J. Fieldhouse, Pure Theories, Math. Ann. 1969, 184, 1-18. DOI: https://doi.org/10.1007/BF01350610

Majid M. All and David J. Smith, Pure Submodules of Multiplication Modules, Contributions to Algebra and geometry, 2004, 45 (1), 61-74.

G.Desale, W.K Nicholson, Endoprimitive rings, J. Algebra, 1981, 70, 548-560. DOI: https://doi.org/10.1016/0021-8693(81)90235-0

F. Kasch, Modules and Rings, Acad. Press, London, 1982.

A.G. Naoum, Flat modules and multiplication modules, Periodica Mathematica Hungarica 1990, 21,309-317. DOI: https://doi.org/10.1007/BF02352695

A.G Naoum, V2 Cancellation modules, Kyungpook Mathematical Journal 1996, 36, 97-106.

M.S. Abbas, On fully stable modules, Ph.D. Thesis, University of Baghdad 1991.

D.J. Fieldhouse, Pure simple and indecomposable rings, Can. Math Bull. 1970, 13, 71-78. DOI: https://doi.org/10.4153/CMB-1970-015-4

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

A.G. Naoum and S.M Yaseen. The regular submodules of a module, commentations in mathematica XXXV, 1995, 195-201.

A.G Naoum and B.H. Al-Bahraany, Modules with the pure sum propery, submitted.

B.H. Al-Bahraany, Modules with the pure intersection property, Ph.D. Thesis, University of Baghdad, 2000.

Published

2007-06-06

How to Cite

Purely Lifting Module. (2007). Journal of Zankoy Sulaimani - Part A, 10(1), 125-134. https://doi.org/10.17656/jzs.10169