J4 ›› 2013, Vol. 48 ›› Issue (2): 36-41.
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ZHAO Zhi-qin
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Abstract:
Let K be a field, R a K-algebra with an SM-basis B, and let - be a onesided (i.e. left or right) monomial ordering on B. Then the classical Factor-SAGBI basis theory (w.r.t a twosided monomial ordering) for subalgebra of commutative polynomial algebras and noncommutative free algebras can be completely generalized to subalgebras of any quotient algebra R/I of R. In particular, for a class of N-graded quotient algebras, finite n-truncated FS-bases for subalgebras can be computed by means of effective algorithm, thereby the feasibility of constructing FS-bases under one-sided monomial ordering is clarified.
Key words: quotient algebra; subalgebra; FS-basis; homogeneous FS-basis
ZHAO Zhi-qin. FS-basis under one-sided monomial orderings[J].J4, 2013, 48(2): 36-41.
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