Noncommutative Gr??bner Bases and Filtered-Graded Transfer (Lecture Notes in Mathematics, 1795, Band 1795) - Softcover

Filtered-Graded Transfer in Using Noncommutative Gröbner Bases.

Softcover. Zustand: Gut. Gebraucht - Gut Verlagsmängelex., IX, 197p. 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. Artikel-Nr. 13904

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