Difference between revisions of "Package borderbasis"

From ApCoCoAWiki
Line 6: Line 6:
 
== List of the main functions ==
 
== List of the main functions ==
  
 
+
[[IsOrderIdeal]]
 +
<pre>
 +
IsOrderIdeal(OO): checks whether OO is an order ideal.";
 +
    input: OO a non-empty set of terms in K[x[1..N]]";
 +
    output: boolean value for checking OO being an order ideal";
 +
</pre>
  
 
== Example for computations ==
 
== Example for computations ==

Revision as of 23:49, 17 November 2022

This article is about a function from ApCoCoA-2. If you are looking for the ApCoCoA-1 version of it, see Category:ApCoCoA-1:Package borderbasis.

This page describes the borderbasis package. The package contains various functions for computing with border bases of order ideals in a polynomial ring P=K[x_1,...,x_n] over a field K. We refer the book [M. Kreuzer and L. Robbiano, Computational Commutative Algebra 2, Springer-Verlag, Berlin, 2005] for more details about border bases. For a complete list of functions, see also Category:Package borderbasis.

The Global Alias of the package is BB.

List of the main functions

IsOrderIdeal

IsOrderIdeal(OO): checks whether OO is an order ideal.";
     input: OO a non-empty set of terms in K[x[1..N]]";
     output: boolean value for checking OO being an order ideal";

Example for computations

See also: BB.Border