**O. Goloubitsky, Department of Mechanics and Mathematics, Moscow
State University**

The most widely used constructive method in commutative algebra is based
on the Groebner bases technique. The Groebner basis of an ideal depends
on the
ordering of the monomials in the polynomial ring.
The Groebner Walk technique is used
to transform Groebner bases from one monomial ordering to another.
Another technique which is used in constructive theory of ideals is
based on the involutive
approach coming from differential algebra.

It is shown that the Groebner walk technique can be carried over to involutive bases. An algorithm and its implementation is discussed.

IMACS ACA'98 Electronic Proceedings