On tertions and dual numbers

In a previous author’s paper [1], the mathematical object called “tertion” was discussed. Some operations over tertions were introduced and their properties were studied. There, it was showed that the complex numbers and quaternions can be represented by tertions. Here, we show that the dual numbers also are representable by tertions. The concept of a “0-quaternion” is introduced and its representation by tertions is given. Ideas for future research are described.