On γ-Clean Rings

Authors

  • Shaimaa S. Esa University of Duhok
  • Hewa S. Faris University of Duhok

DOI:

https://doi.org/10.25271/2017.5.3.398

Keywords:

γ-clean rings, r-clean rings, clean rings and γ-regular rings, regular rings

Abstract

In this paper we introduce the concept of -clean ring and we discuss some relations between - clean ring and other rings with explaining by some examples. Also, we give some basic properties of it.

Author Biographies

Shaimaa S. Esa, University of Duhok

Dept. of Mathematics, College of Basic Education, University of Duhok, Kurdistan Region - Iraq

Hewa S. Faris, University of Duhok

Dept. of Mathematics, College of Basic Education, University of Duhok, Kurdistan Region - Iraq

References

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Ashrafi, N. and Nasibi, E., (2013), "r-Clean Rings" to appear in Mathematical Reports, Vol.15(65), no.2.
Anderson, D. D. and Camillo, V. P., (2002), "Commutative Rings whose Elements are a sum of a unit and idempotent", J. Comm. Algebra, Vol.30, No.7, pp.3327-3336.
Esa, Sh. S., (2010), "A Study of some types of Strongly regular rings", M. Sc. Thesis, Mosul University.
Esa, Sh. S., (2015), "On γVNL-ring", J. Duhok Univ. (Pure and Eng. Sciences), Vol.18, No.1, pp.93-96.
Lam, T. Y., (2000), "Exercises in Classical Ring Theory", Springer-Verlag, New York Berlin Heidelberg,.
Mohammad, A. J. and Salih, S. M., (2006), "On γ-regular rings", J. Edu. Sci., Vol.18, No.4, pp.118-139.
Nicholson, W. K., (1977), "Lifting idempotent and exchange rings", Trans. Amer. Math. Soc. Vol.229, pp.269-278.
Von Neumann, J. (1936),"On regular rings", J. Princeton N., Vol.22, pp.707-713.

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Published

2017-09-30

How to Cite

Esa, S. S., & Faris, H. S. (2017). On γ-Clean Rings. Science Journal of University of Zakho, 5(3), 285–287. https://doi.org/10.25271/2017.5.3.398

Issue

Section

Science Journal of University of Zakho