Common Divisors of Solvable Polynomials in JAS

We present generic, type safe (non-unique) common divisors of solvable polynomials software. The solvable polynomial rings are defined with non-commuting variables, moreover, in case of parametric (solvable) coefficients the main variables may not commute with the coefficients. The interface, class organization is described in the object-oriented programming environment of the Java Algebra System (JAS). The implemented algorithms can be applied, for example, in solvable extension field and root construction. We show the design and feasibility of the implementation in the mentioned applications.