1. The trailing terms ideal.
- Author
-
Ben Amor, Faten and Yengui, Ihsen
- Subjects
- *
POLYNOMIAL rings , *POLYNOMIALS - Abstract
In this paper, we address the following question: for a nonzero finitely generated ideal I of a multivariate polynomial ring R [ X 1 , ... , X n ] over a coherent ring R , fixing a monomial order < on R [ X 1 , ... , X n ] , is the trailing terms ideal tt (I) of I (that is, the ideal generated by the trailing terms of the nonzero polynomials in I) finitely generated? We show that while tt (I) can be nonfinitely generated, it is always countably generated when the monomial order is Noetherian (graded monomial orders as instances). [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF