关于（De）齐次Gröbner基的注记
Note on (De)homogenized Gröbner Bases
摘要：
本文利用均匀化（反均匀化）技术，在较广泛的背景下，详细研究了非齐次Gröbner基与齐次Gröbner基之间的关系.因此，系统地阐明了通过均匀化生成元计算Gröbner基（对于理想及其均匀化理想）的一般原理。所得结果改进和加强了[LWZ]、[Li1]、[Li2]、[Li3]和最近[SL]关于同一主题的工作。
英文摘要：
By employing the (de)homogenization technique in a relatively extensive setting, this note studies in detail the relation between non-homogeneous Gröbner bases and homogeneous Gröbner bases. As a consequence, a general principle of computing Gröbner bases (for an ideal and its homogenization ideal) by passing to homogenized generators is clarified systematically. The obtained results improve and strengthen the work of [LWZ], [Li1], [Li2], [Li3], and very recent [SL] concerning the same topic.
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