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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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