شماره ركورد كنفرانس :
4338
عنوان مقاله :
On the image of cubic derivations and generalized derivations
پديدآورندگان :
Hosseini Amin hosseini.amin82@gmail.com Department of Mathematics, Kashmar Higher Education Institute, Kashmar, Iran;
كليدواژه :
Cubic derivation , derivation , generalized derivation , Jacobson radical
عنوان كنفرانس :
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
چكيده فارسي :
In this study, we show that every rank one cubic derivation on a unital integral domain is identically zero. From this conclusion, under certain conditions, we achieve that the image of a cubic derivation on a commutative algebra is contained in the Jacobson radical. Moreover, it is presented that every generalized derivation on a commutative von Neumann algebra is identically zero.
