Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2016; 31(2): 209-216

Printed April 30, 2016

https://doi.org/10.4134/CKMS.2016.31.2.209

Copyright © The Korean Mathematical Society.

On symmetric bi-derivations of B-algebras

S{\'{i}}bel Altunbi\c{c}ak Kayi\c{s} and {\c{S}}ule Ayar {\"{O}}zbal

Ya{\c{S}}ar University, Ya{\c{S}}ar University

Abstract

In this paper, we introduce the notion of symmetric bi-deri\-vations 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

MSC numbers: 16B70, 16W25, 06F35