
doi: 10.1002/mma.6580
The set of hybrid numbers is a noncommutative number system that unified and generalized the complex, dual, and double (hyperbolic) numbers with the relation ih =−hi=ε+i. Two hybrid numbers p and q are said to be similar if there exist a nonlightlike hybrid number x satisfying the equality x−1qx = p. And, it is denoted by p∼q. In this paper, we study the concept of similarity for hybrid numbers by solving the linear equations px = xq and qx−xp = c for
Linear equations (linear algebraic aspects), double numbers, Matrices over special rings (quaternions, finite fields, etc.), split quaternion, dual numbers, hybrid numbers
Linear equations (linear algebraic aspects), double numbers, Matrices over special rings (quaternions, finite fields, etc.), split quaternion, dual numbers, hybrid numbers
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 13 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
