期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2013
卷号:2013
DOI:10.1155/2013/170749
出版社:Hindawi Publishing Corporation
摘要:Let be a near ring. An additive mapping is said to be a
right generalized (resp., left generalized) derivation with associated derivation on if (resp., ) for all . A mapping
is said to be a generalized derivation with associated derivation on if
is both a right generalized and a left generalized derivation with associated derivation
on . The purpose of the present paper is to prove some theorems in the setting of
a semigroup ideal of a 3-prime near ring admitting a generalized derivation, thereby
extending some known results on derivations.