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Monomial difference ideals

Author: Jie Wang
Journal: Proc. Amer. Math. Soc. 145 (2017), 1481-1496
MSC (2010): Primary 12H10
Published electronically: October 20, 2016
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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.

References [Enhancements On Off] (What's this?)

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Additional Information

Jie Wang
Affiliation: KLMM, Academy of Mathematics and Systems Science, The Chinese Academy of Sciences, Beijing 100190, People’s Republic of China

Keywords: Monomial difference ideal, well-mixed difference ideal, Hrushovski's question, decomposition of difference ideal
Received by editor(s): January 14, 2016
Received by editor(s) in revised form: June 16, 2016
Published electronically: October 20, 2016
Communicated by: Lev Borisov
Article copyright: © Copyright 2016 American Mathematical Society

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