Smarandache zero divisors, power joined elements and triple identity rings.


Parween Ali Hummadi and Kurdistan Muhammad Ali

College of Education, 2 College of Science, University of Salahaddin, Hawler-Kurdistan Region-Iraq


Abstract

In this paper, we study Smarandache zero divisors, in Zn and the group ring Z2 G, for a
cyclic group G of order 2n, we also study power joined elements and triple identity rings.

Key Words:
S-zero divisors,
power joined
elements and
TI- rings


REFERENCES

[1] D. M. Burton, Elementary Number Theory, Allyn and Bacon, Inc. (1980).

[2] P. A. Hummadi, S-units and S-idempotents, Zanco, Journal of Pure and Applied Sciences, Salahaddin University−Hawler, Vol. 21, No. 4, pp. 137-144. (2009).

[3] R. Padilla, Smarandache Algebraic Structures, Bulletin of Pure and Applied Sciences, Delhi, Vol. 17E., No.1, pp. 119-121. (1998).

[4] P. A. Hummadi and S. A. Osman, Smarandache Rings and Smarandache Elements, Raf. J. of Comp. & Math’s, Vol. 10, No. 4, pp. 61-69. (2013).

[5] F. Smarandache, Special Algebraic Structures, in Collected Papers, Abaddaba, Oradea, Vol.3, pp. 78-81. (2000).

[6] W. B.Vasantha Kandasamy, Smarandache Zero Divisors. (2002). http://www.gallup.unm.edu/~smarandache/ZeroDivisor.pdf

[7] W. B. Vasantha Kandasamy, Smarandache Rings, American Research Press. (2002).

[8] P. A. Hummadi and S. A. Osman, Smarandache idempotents in certain types of group rings , Journal of Zankoy Sulaimani, 13(1) Part A , pp. 93-102. (2010).