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Using computer-aid approach to solve algebraic problems. Questions with this tag should typically include at least one other tag indicating what sort of algebraic problem is involved, such as ac.commutative-algebra or rt.representation-theory or ag.algebraic-geometry.
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Monomial orderings in noncommutative setting
There are very few results as far as classification goes. This paper of Hermiller gives an idea of the messiness of the noncommutative case. Martin, Scott, Perlo-Freeman, and Prohle have all done work …