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Huishi Li (auth.)
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دانلود کتاب Noncommutative Gröbner Bases and Filtered-Graded Transfer
by Huishi Li (auth.)|
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عنوان فارسی: بازها غیر مبادلهای Gröbner و انتقال فیلتر مدرج |
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جزییات کتاب
This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of (q-)differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations.
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