Weak embeddability of $H_v$-near rings

In this study, a novel framework is introduced by equipping the collection of all multitransformations of an Hv-group (without assuming it to be abelian) with a structure called the multitransformation general Hv-near ring.This structure is specifically tailored to correspond with an Hv-group.Subsequently, it is demonstrated that every Hv-near ring can be weakly embedded into such a multitransformation general Hv-near ring, thereby extending a well-known classical theorem on near rings to a broader context.