Monomial Difference Ideals
Commutative Algebra
2016-06-17 v2
Abstract
In this paper, basic properties of monomial difference ideals are studied. We prove the finitely generated property of well-mixed difference ideals generated by monomials. Furthermore, a finite prime decomposition of radical well-mixed monomial difference ideals is given. As a consequence, we prove that every strictly ascending chain of radical well-mixed monomial difference ideals in a difference polynomial ring is finite, which answers a question raised by E. Hrushovski in the monomial case. Moreover, the Alexander Duality for monomial ideals is generalized to the monomial case.
Cite
@article{arxiv.1601.01148,
title = {Monomial Difference Ideals},
author = {Jie Wang},
journal= {arXiv preprint arXiv:1601.01148},
year = {2016}
}
Comments
16 pages