| Summary: | In this article, we introduce new generators of a permuting <i>n</i>-derivations to improve and increase the action of usual derivation. We produce a permuting <i>n</i>-generalized semiderivation, a permuting <i>n</i>-semigeneralized semiderivation, a permuting <i>n</i>-antisemigeneralized semiderivation and a permuting skew <i>n</i>-antisemigeneralized semiderivation of non-empty rings with their applications. Actually, we study the behaviour of those types and present their results of semiprime ring <i>R</i>. Examples of various results have also been included. That is, many of the branches of science such as business, engineering and quantum physics, which used a derivation, have the opportunity to invest them in solving their problems.
|
|---|