International Journal of Mathematics Trends and Technology
Volume 55 | Number 5 | Year 2018 | Article Id. IJMTT-V55P541 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P541
The concept of derivation in incline algebra was introduced by N.O. Alsherhi [1] . Kyung Ho kim and so Young Park[2] introduced the symmetric bi-f- derivation in incline algebra. In this paper, we introduce the concept of symmetric bi-t-derivation in incline algebras and present some properties of symmetric bi-t derivations. Also, we characterize 𝐾𝑒𝑟𝑑𝑡 (𝐾) and 𝑇𝑎 (𝐾) by symmetric bi-t-derivations in incline algebra and give some examples. Also we define isotone symmetric bi-t- derivation in incline algebra and analyse its properties.
[1] N. O. Alshehri. On derivations of incline algebras, Scientiae Mathematicae Japonicae online, e-2010 (2010), 199-205.
[2] Z. Q. Cao, K. H. Kim and F. W. Roush, Incline algebra and applications, John Wiley and Sons, New York, 1984.
[3] K. H. Kim, On right derivations of incline algebras, Journal of TheChung Cheong Mathematical Society, 26 No 4, (2013), 683-690. http://dx.doi.org/10.14403/jcms.2013.26.4.683
[4] OzbalAyar, S and Firat, On f-derivations of incline algebras, LJPAM, 3 (2011) No 1, 83-90.
[5] W.Yao and S. Han, On ideals, filters,and congruences ininclines, Bull. Korean Math 46 No 3, (2009), 591-598. http://dx.doi.org/10.4134/bkms.2009.46.3.591
G.Priscilla Pacifica, T.Mehala, "Symmetric Bi-T-Derivations of Incline Algebra," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 5, pp. 317-321, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P541
PDF 
Abstract 
Keywords 
References 
Citation