کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10325594 675501 2005 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Gröbner bases and syzygies on bimodules over PBW algebras
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Gröbner bases and syzygies on bimodules over PBW algebras
چکیده انگلیسی
A new method for the computation of two-sided Gröbner bases of ideals and bimodules shifting the problem to the enveloping algebra is proposed. This alternative method appears to be more efficient than the one in [Kandri-Rody, A., Weispfenning, V., 1990. Non-commutative Gröbner bases in algebras of solvable type. J. Symbolic Comput. 9, 1-26] since it calls the left Buchberger algorithm once. We introduce the notion, arising from the ideas that this method involves, of two-sided syzygy, which is revealed to be useful in the computation of, e.g., the intersection of bimodules. Further applications are left for a later work.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 40, Issue 3, September 2005, Pages 1039-1052
نویسندگان
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