A Generalization of Epiform Modules

Payman M. Hamaali

Faculty of Science and Science Education, University of Sulaimani

Abstract

In this paper we introduce a generalization of epiform modules . A module M is called an

f epiform  module if every proper finitely generated submodule of M is a corational

submodule of M.Also we investigate some basic properties of this type of modules. We studied

some relationships between this type of modules and some other modules.

Keywords: Corational submodules ,Epiform modules , Semihollw modules ,Hollow

modules.

References

[1] Fleury P., Hollow modules and local endomorphism rings, Pac. J. Math. 53

(1974),379-385.

[2] Fleury P., A note on dualizing goldie dimension, Canada. Math. Bull. 17(4)

(1974),511-517.

[3] Hamada N. and Al-Hashimi B., Some results on the Jacobson radical and the M-

radicals, Abhath Al-Yarmouk 11(2A) (2002), 573-579.

[4] Hamdouni A. L., On lifting modules, Thesis College of Science, University of

Baghdad, 2001.

[5] Inoue T., Sum of hollow modules, Osaka J. Math. 20 (1983), 331-336.

[6] Rangaswamy K. M., Modules with finite spanning dimension, Canada Math. Bull.

20(2) (1977), 255-262.

[7] Bilhan G. and Guroglu1 T., W coatomic modules, Cankaya University Journal of

Science and Engineering 7(1) (2010), 17-24.

[8] Yasean S. M., Coquasi-Dedekind Modules, PH.D. Thesis, College of Science

University of Baghdad, 2003.

[9] Zoschinger H., Minimax-modules, J. Algebra 102 (1986), 1-32.

[10] Hamaali P. M. And Al-Hashimi B.A., Hollow Modules and Semihollow Modules,

Thesis, College of Science, University of Baghdad, 2005.

[11] Calugareanu G., Coatomic Lattics and Related Abelian Group Topics, Dept. of

Algebra, Faculty of Mathematics-Informatics, Babes-Bolya University.

[12] AL-Hashimi B .A., Ahmed M .A., Some Results on Epiform Modules, J. of university

of anbar for pure science ,Vol.4,no.3 , 2010

Page updated

Report abuse