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The Resource Noncommutative Gröbner bases and filtered-graded transfer, Huishi Li

Noncommutative Gröbner bases and filtered-graded transfer, Huishi Li

Label
Noncommutative Gröbner bases and filtered-graded transfer
Title
Noncommutative Gröbner bases and filtered-graded transfer
Statement of responsibility
Huishi Li
Creator
Subject
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
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
Instantiates
Publication
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
Publication
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

Library Locations

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