SAGBI bases under one-sided monomial orderings
Zhao Zhi-qin · 2011
Let K be a field,R a K-algebra with an SM-basis B,and a one-sided(i.e.left or right) monomial ordering on B.Then the classical SAGBI basis theory(w.r.t.a two-sided monomial ordering) for subalgebras of commutative polynomial algebras and noncommutative free algebras can be completely generalized to subalgebras of R.In particular,finite n-truncated SAGBI bases can be computed by means of effective algorithm,for the first time clarify the feasibility of discussing SAGBI basis theory under one-sided monomial ordering.