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<A NAME=Module>

<TITLE>Module</TITLE></A>
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<B>MODULE</B><P>
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Given a polynomial ring, e.g. R=Z[x,y,...] and an integer n&gt;1. 
The vectors with n elements of R form a free MODULE under 
elementwise addition and multiplication with elements of R. 
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For a submodule given by a finite basis a Groebner basis 
can be computed, and the facilities of the GROEBNER package 
are available except the operators 
<A HREF=r37_0390.html>groebnerf</A> 
and <em>groesolve</em>. The vectors are encoded using auxiliary 
variables which represent the unit vectors in the module. 
These are declared in the share variable 
<A HREF=r37_0401.html>gmodule</A>. 
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