바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

Vol.25 No.3

Rehman, Nadeem Ur pp.181-191 https://doi.org/10.7468/jksmeb.2018.25.3.181
초록보기
Abstract

In the present paper, we investigate the action of generalized derivation G associated with a derivation g in a (semi-) prime ring R satisfying <TEX>$(G([x,y</TEX><TEX>]</TEX><TEX>)-[G(x),y</TEX><TEX>]</TEX><TEX>)^n=0$</TEX> for all x, <TEX>$y{\in}I$</TEX>, a nonzero ideal of R, where n is a fixed positive integer. Moreover, we also examine the above identity in Banach algebras.

초록보기
Abstract

In this paper, we discuss central index oriented and slowly changing function based some growth properties of composite entire functions.

Davvaz, Bijan ; Alp, Murat pp.203-218 https://doi.org/10.7468/jksmeb.2018.25.3.203
초록보기
Abstract

An old result of Whitehead says that the set of derivations of a group with values in a crossed G-module has a natural monoid structure. In this paper we introduce derivation of crossed polymodule and actor crossed polymodules by using Lue's and Norrie's constructions. We prove that the set of derivations of a crossed polygroup has a semihypergroup structure with identity. Then, we consider the polygroup of invertible and reversible elements of it and we obtain actor crossed polymodule.

Paokanta, Siriluk ; Shim, Eon Hwa pp.219-227 https://doi.org/10.7468/jksmeb.2018.25.3.219
초록보기
Abstract

In this paper, we solve the additive <TEX>${\rho}$</TEX>-functional equations <TEX>$$(0.1)\;f(x+y)+f(x-y)-2f(x)={\rho}\left(2f\left({\frac{x+y}{2}}\right)+f(x-y)-2f(x)\right)$$</TEX>, where <TEX>${\rho}$</TEX> is a fixed non-Archimedean number with <TEX>${\mid}{\rho}{\mid}$</TEX> < 1, and <TEX>$$(0.2)\;2f\left({\frac{x+y}{2}}\right)+f(x-y)-2f(x)={\rho}(f(x+y)+f(x-y)-2f(x))$$</TEX>, where <TEX>${\rho}$</TEX> is a fixed non-Archimedean number with <TEX>${\mid}{\rho}{\mid}$</TEX> < |2|. Furthermore, we prove the Hyers-Ulam stability of the additive <TEX>${\rho}$</TEX>-functional equations (0.1) and (0.2) in non-Archimedean Banach spaces.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics