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Part VI
NCGB: LISTS OF COMMANDS AND OTHER DETAILS
18
Ordering on variables and monomials
18.1
Lex Order: The simplest elimination order
18.2
Graded lex ordering: A non-elimination order
18.3
Multigraded lex ordering : A variety of elimination orders
18.4
The list of commands
18.5
Fancier Order Setting Commands
19
More NCProcess Options
19.1
Creating small generating sets: RR
→
True
, RRByCat
→
True
, SB
→
False
, SBByCat
→
True
19.2
NCCollectOnVars
19.3
Turning screen output off
19.4
Output Options
19.5
NCProcess Summary Table
20
Commands for Making and Using GB’s
20.1
Simplification
20.2
Making a Gröbner Basis and various options (with their defaults)
20.3
Reduction
21
Commands for Making Small Bases for Ideals: Small Basis, Shrink Basis
21.1
Brute Force: Shrinking
21.2
Brute Force: Many shrinks
21.3
First Example
21.4
Second Example
21.5
Smaller Bases and the Spreadsheet command
21.6
How Small Basis commands relate to the similar NCProcess Options
22
Help in Typing Relations .
22.1
Output notation for pseudoinverse and perp’s
23
Retrieving Categories and Regular Output
23.1
Example
23.2
Creating Categories
23.3
RegularOutput[aListOfPolynomials,“fileName”]
23.4
How to Really Change Regular Output
24
The Dimension of the Solution Set of a Set of Polynomial Equations
24.1
The Commuting Case
24.2
Noncommutative Case: Gelfand-Kirillov dimension
24.3
References
24.4
Commands
25
Commands which are not supported
25.1
A Mathematica Groebner Basis Package Without C++
25.2
NCXWholeProcess[ polys, orderList, fileName, grobIters]
26
Getting NCALGEBRA and NCGB
26.1
Getting NCAlgebra and NCGB off the web
26.2
Getting NCAlgebra and NCGB through anonymous ftp
26.3
The last step
26.4
The NC directory structure
26.5
Directory structure of NCAlgebra alone
27
Testing your version of NCGB
27.1
Beginners
27.2
Turning On Screen Output
27.3
More Testing for Developers - DOES NOT WORK 2001
28
References
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