Mathematical Sciences Classification System
13Pxx - Computational aspects and applications 
[See also  14Qxx,  68W30]
                    - 
                            
                            13P05Polynomials, factorization [See also 12Y05]
 - 
                            
                            13P10Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
 - 
                            
                            13P15Solving polynomial systems; resultants
 - 
                            13P20Computational homological algebra [See also 13Dxx]
 - 
                            
                            13P25Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)
 - 
                            13P99None of the above, but in this section