Noncommutative Gröbner bases and filtered-graded transfer

Resource Information

The work Noncommutative Gröbner bases and filtered-graded transfer represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Noncommutative Gröbner bases and filtered-graded transfer

Statement of responsibility

Huishi Li

Creator

• Li, Huishi

Subject

• Algebra -- Data processing
• Algebra -- Data processing
• Associative rings -- Data processing
• Filtered rings
• Filtered rings
• Filtered rings
• Gröbner bases
• Gröbner bases
• Gröbner bases
• Algebra -- Data processing

Language

eng

Summary

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

Member of

• Lecture notes in mathematics (Springer-Verlag), 1795

Cataloging source

COO

Dewey number

• 510 s
• 512/.4

Index

index present

Language note

English

LC call number

• QA3
• QA251.5

LC item number

.L28 no. 1795

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Lecture notes in mathematics,

Series volume

1795