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 A. Examples 
  
| A.1 Programming |    | procedures and libraries, formatting output, etc. |  
| A.2 Computing Groebner and Standard Bases |    | GB conversion, slim GB |  
| A.3 Commutative Algebra |    | saturation, elimination, free resolution, factorization, primary decomposition, normalization, etc. |  
| A.4 Singularity Theory |    | singular and critical points, invariants of hypersurface singularities, classification, resolution of singularities, etc. |  
| A.5 Invariant Theory |    | G_a-invariants, invariants of finite groups |  
| A.6 Geometric Invariant Theory |    |  |  
| A.7 Non-commutative Algebra |    | Groebner bases and applications in G-algebras |  
| A.8 Applications |    | Solving systems of polynomial equations, AG codes |  
  
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