Monomial difference ideals
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- by Jie Wang PDF
- Proc. Amer. Math. Soc. 145 (2017), 1481-1496 Request permission
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
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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
- Email: wangjie212@mails.ucas.ac.cn
- 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
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1481-1496
- MSC (2010): Primary 12H10
- DOI: https://doi.org/10.1090/proc/13369
- MathSciNet review: 3601541