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http://dx.doi.org/10.4134/CKMS.2009.24.3.321

A NOTE ON f-DERIVATIONS OF BCI-ALGEBRAS  

Javed, Malik Anjum (DEPARTMENT OF MATHEMATICS GC UNIVERSITY)
Aslam, Muhammad (DEPARTMENT OF MATHEMATICS GC UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.3, 2009 , pp. 321-331 More about this Journal
Abstract
In this paper, we investigate some fundamental properties and establish some results of f-derivations of BCI-algebras. Also, we prove Der(X), the collection of all f-derivations, form a semigroup under certain binary operation.
Keywords
f-derivation; p-semisimple; BCI-algebras;
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1 J. E. Whitesitt, Boolean algebra and its Applications, New York, Dover, 1995
2 Q. Zhang, Some other characterizations of p semisimple BCI-algebras, Math. Japon. 36 (1991), no. 5, 815–817
3 E. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093–1100
4 J. M. Zhan and Y. L. Liu, On f derivation of BCI-algebras, Int. Jour. Math. Mathematical Sciences. 11 (2005), 1675–1684   DOI   ScienceOn
5 J. Meng, Y. B. Jun, and E. H. Roh, BCI-algebras of order 6, Math. Japon. 47 (1998), no. 1, 33–43
6 K. Iseki, On BCI-algebras, Math. Sem. Notes 8 (1980), 125–130
7 Y. B. Jun and X. L. Xin, On derivations of BCI-algebras, Inform. Sci. 159 (2004), 167–176   DOI   ScienceOn
8 P. H. Lee and T. K. Lee, On derivations of prime rings, Chinese J. Math. 9 (1981), 107–110
9 L. Tiande and X. Changchang, p-Radical in BCI-algebras, Math. Japon. 30 (1985), no. 4, 511–517
10 X . L. Xin, E. H. Roh, and J. C. Li , Some results on the BCI G part of algebras, Far East J. Math. Sci. SpecialVolume (Part III), (1997), 363–370
11 M. Daoji, BCI-algebras and Abelian groups, Math. Japon. 32 (1987), no. 5, 693–696
12 H. A. S. Abujabal and N. O. Al-shehri, Some results on derivations of BCI-algebras, Jr. of Natural sciences and Mathematics 46 (2006), no. 2, 13–19
13 M. Aslam and A. B. Thaheem, A note on p-semisimple BCI-algebras, Math. Japon. 36 (1991), no. 1, 39–45
14 M. Aslam, Ideal theory of BCK-algebras, Quaid-I-Azam University Islamabad, Pakistan. Ph. D. Thesis, 1992
15 W. A . Dudek, On BCI- algebras with condition (s), Math. Japon. 31 (1986), no. 1, 26–29
16 C. S. Hoo, BCI- algebras with condition (s), Math. Japon. 32 (1987), no. 5, 749–756