“…Solving polynomial systems in general, whether in the commutative or noncommutative case, is a fundamental mathematical interest. In addition to computer algebra, it is used for numerous applications in sciences, for example in engineering [9], computer vision [38], economics [37], cryptology [53], algebraic geometry [61]. Also seen in many noncommutative cases, such as in cryptography [8], linear codes [6], robotics [30], etc.…”