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:2008
卷号:2008
DOI:10.1155/2008/490316
出版社:Hindawi Publishing Corporation
摘要:Let 𝑁 be a 3-prime 2-torsion-free zero-symmetric left near-ring with multiplicative center 𝑍. We prove that if 𝑁 admits a nonzero generalized derivation 𝑓 such that 𝑓(𝑁)⊆𝑍, then 𝑁 is a commutative ring. We also discuss some related properties.