The Resource Noncommutative Gröbner bases and filtered-graded transfer, Huishi Li
Noncommutative Gröbner bases and filtered-graded transfer, Huishi Li
Resource Information
The item Noncommutative Gröbner bases and filtered-graded transfer, Huishi Li represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Noncommutative Gröbner bases and filtered-graded transfer, Huishi Li represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (ix, 197 pages).
- Contents
-
- Introduction
- Chapter I: Basic Structural Tricks and Examples
- Chapter II: Grbner Bases in Associative Algebras
- Chapter III: Grbner Bases and Basic Algebraic-Algorithmic Structures
- Chapter IV: Filtered-Graded Transfer of Grbner Bases
- Chapter V: GK-dimension of Modules over Quadric Solvable Polynomial Algebras and Elimination of Variables
- Chapter VI: Multiplicity Computation of Modules over Quadric Solvable Polynomial Algebras
- Chapter VII: (partial- )Holonomic Modules and Functions over Quadric Solvable Polynomial Algebras
- Chapter VII: Regularity and Ko-group of Quadric Solvable Polynomial Algebras
- References
- Index
- Isbn
- 9783540457657
- Label
- Noncommutative Gröbner bases and filtered-graded transfer
- Title
- Noncommutative Gröbner bases and filtered-graded transfer
- Statement of responsibility
- Huishi Li
- 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
- Cataloging source
- COO
- http://library.link/vocab/creatorName
- Li, Huishi
- 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
- http://library.link/vocab/subjectName
-
- Associative rings
- Gröbner bases
- Algebra
- Filtered rings
- Algebra
- Filtered rings
- Gröbner bases
- Label
- Noncommutative Gröbner bases and filtered-graded transfer, Huishi Li
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Introduction -- Chapter I: Basic Structural Tricks and Examples -- Chapter II: Grbner Bases in Associative Algebras -- Chapter III: Grbner Bases and Basic Algebraic-Algorithmic Structures -- Chapter IV: Filtered-Graded Transfer of Grbner Bases -- Chapter V: GK-dimension of Modules over Quadric Solvable Polynomial Algebras and Elimination of Variables -- Chapter VI: Multiplicity Computation of Modules over Quadric Solvable Polynomial Algebras -- Chapter VII: (partial- )Holonomic Modules and Functions over Quadric Solvable Polynomial Algebras -- Chapter VII: Regularity and Ko-group of Quadric Solvable Polynomial Algebras -- References -- Index
- Control code
- 50993308
- Dimensions
- unknown
- Extent
- 1 online resource (ix, 197 pages).
- Form of item
- online
- Isbn
- 9783540457657
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/b84211
- Specific material designation
- remote
- System control number
- (OCoLC)50993308
- Label
- Noncommutative Gröbner bases and filtered-graded transfer, Huishi Li
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Introduction -- Chapter I: Basic Structural Tricks and Examples -- Chapter II: Grbner Bases in Associative Algebras -- Chapter III: Grbner Bases and Basic Algebraic-Algorithmic Structures -- Chapter IV: Filtered-Graded Transfer of Grbner Bases -- Chapter V: GK-dimension of Modules over Quadric Solvable Polynomial Algebras and Elimination of Variables -- Chapter VI: Multiplicity Computation of Modules over Quadric Solvable Polynomial Algebras -- Chapter VII: (partial- )Holonomic Modules and Functions over Quadric Solvable Polynomial Algebras -- Chapter VII: Regularity and Ko-group of Quadric Solvable Polynomial Algebras -- References -- Index
- Control code
- 50993308
- Dimensions
- unknown
- Extent
- 1 online resource (ix, 197 pages).
- Form of item
- online
- Isbn
- 9783540457657
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/b84211
- Specific material designation
- remote
- System control number
- (OCoLC)50993308
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