Noether normalization guided by monomial cone decompositions
This paper explains the relevance of partitioning the set of standard monomials into cones for constructing a Noether normalization for an ideal in a polynomial ring. Such a decomposition of the complement of the corresponding initial ideal in the set of all monomials - also known as a Stanley decomposition - is constructed in the context of Janet bases, in order to come up with sparse coordinate changes which achieve Noether normal position for the given ideal. (C) 2009 Elsevier Ltd. All rights reserved.
noether normalization stanley decompositions janet bases sparse coordinate change involutive bases