arXiv:2212.13149v1 [math.RA] 26 Dec 2022
Also, in the single YBE situation, it was observed that the nilpotent coefficient matrix situation is the most interesting and important. A generalization of this for the system is the case, A,B are zero-divisors (i.e., AB = BA = 0). So, it makes ample sense to investigate the system of YBE when the coefficients satisfy AB = BA = 0.