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On the uniform bound of reducibility index of parameter ideals of idealizations.
- Source :
-
Journal of Algebra & Its Applications . Sep2023, Vol. 22 Issue 9, p1-23. 23p. - Publication Year :
- 2023
-
Abstract
- Let (R ,) be a Noetherian local ring and M a finitely generated R -module. In this paper, we study the polynomial type and the sequential polynomial type of the idealization R ⋉ M of R and M introduced by Cuong [On the least degree of polynomials bounding above the differences between lengths and multiplicities of certain systems of parameters in local rings, Nagoya Math. J. 125 (1992) 105–114] and Nhan-Dung-Chau [A measure for non-sequential Cohen Macaulayness of finitely generated modules, J. Algebra 468 (2016) 275–295], respectively. In addition, we give a uniform bound for the reducibility index of parameter ideals of idealizations whose polynomial type and sequential polynomial type are at most one. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NOETHERIAN rings
*LOCAL rings (Algebra)
*POLYNOMIALS
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 22
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 164930267
- Full Text :
- https://doi.org/10.1142/S0219498823501839