Browse > Article
http://dx.doi.org/10.4134/CKMS.2016.31.2.209

ON SYMMETRIC BI-DERIVATIONS OF B-ALGEBRAS  

Kayis, Sibel Altunbicak (Department of Mathematics Faculty of Science Yasar University)
Ozbal, Sule Ayar (Department of Mathematics Faculty of Science and Letter Yasar University)
Publication Information
Communications of the Korean Mathematical Society / v.31, no.2, 2016 , pp. 209-216 More about this Journal
Abstract
In this paper, we introduce the notion of symmetric bi-derivations of a B-algebra and investigate some related properties. We study the notion of symmetric bi-derivations of a 0-commutative B-algebra and state some related properties.
Keywords
B-algebra; 0-commutative B-algebra; derivation; symmetric bi-derivation;
Citations & Related Records
연도 인용수 순위
  • Reference
1 N. O. Alshehri, Derivations of B-algebras, J. King Abdulaziz Univ. 22 (2010), no. 1, 71-83.   DOI
2 N. O. Alshehri, H. S. Kim, and J. Neggers, Derivations on ranked bigroupoids, Appl. Math. Inf. Sci. 7 (2013), no. 1, 161-166.   DOI
3 N. O. Alshehri, H. S. Kim, and J. Neggers, (n-1)-Step derivations on n-groupoids: The Case n = 3, Hindawi Publishing Corporation, The Scientific World Journal Volume 2014 (2014), Article ID 726470, 6 pages.
4 J. R. Cho and H. S. Kim, On B-algebras and quasigroups, Quasigroups Related Systems 8 (2001), 1-6.
5 S. Ilbira, A. Firat, and Y. B. Jun, On symmetric bi-derivations of BCI-algebras, Appl. Math. Sci. 5 (2011), no. 60, 2957-2966.
6 Y. B. Jun and X. L. Xin, On derivations of BCI-algebras, Inform. Sci. 159 (2004), no. 3-4, 167-176.   DOI
7 H. S. Kim and H. G. Park, On 0-commutative B-algebras, Sci. Math. Jpn. 62 (2005), no. 1, 7-12.
8 G. Maksa, A remark on symmetric biadditive functions having nonnegative diagonalization, Glas. Mat. Ser. III 15(35) (1980), no. 2, 279-282.
9 G. Maksa, On the trace of symmetric bi-derivations, C. R. Math. Rep. Acad. Sci. Canada 9 (1987), no. 6, 303-307.
10 J. Neggers and H. S. Kim, On B-algebras, Mat. Vesnik 54 (2002), no. 1-2, 21-29.
11 C. Prabpayak and U. Leerawat, On derivations of BCC-algebras, Kasetsart J. (Nat. Sci.) 43 (2009), 398-401.
12 J. Vukman, Symmetric bi-derivations on prime and semi-prime rings, Aequations Math. 38 (1989), no. 2-3, 245-254.   DOI
13 J. Vukman, Two result concerning symmetric bi-derivations on prime rings, Aequations Math. 40 (1990), no. 2-3, 181-189.   DOI