On the uniform bound of reducibility index of parameter ideals of idealizations

DOI10.1142/s0219498823501839zbMath1523.13005OpenAlexW4293076936MaRDI QIDQ6113078

Publication date: 8 August 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823501839

zbMATH Keywords

sequential polynomial type polynomial type almost \(p\)-standard system of parameters index reducibility

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Ideals and multiplicative ideal theory in commutative rings (13A15) Local cohomology and commutative rings (13D45)

Related Items (1)

On the partial Euler-Poincaré characteristics of Koszul complexes of idealization

Cites Work

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A measure of non-sequential Cohen-Macaulayness of finitely generated modules
On the uniform bound of the index of reducibility of parameter ideals of a module whose polynomial type is at most one
Hilbert coefficients and partial Euler-Poincaré characteristics of Koszul complexes of d-sequences
Local cohomology annihilators and Macaulayfication
A splitting theorem for local cohomology and its applications
Codimension and multiplicity
Index of reducibility of parameter ideals in a local ring
Idealization of a module
Asymptotic behavior of parameter ideals in generalized Cohen-Macaulay modules
\(p\)-standard systems of parameters and \(p\)-standard ideals in local rings
Pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules.
The finiteness of certain sets of attached prime ideals and the length of generalized fractions.
On the sequential polynomial type of modules
On the length function of saturations of ideal powers
The theory of d-sequences and powers of ideals
Combinatorics and commutative algebra.
Asymptotic behaviour of good systems of parameters of sequentially generalized Cohen-Macaulay modules
On the index of reducibility of parameter ideals: the stable and limit values
Residually faithful modules and the Cohen-Macaulay type of idealizations
A uniform bound of reducibility index of good parameter ideals for certain class of modules
On the structure of sequentially generalized Cohen-Macaulay modules
On sequentially Cohen-Macaulay modules
The equality \(I^2=QI\) in Buchsbaum rings
On arithmetic Macaulayfication of Noetherian rings
On certain invariants of idealizations
Index of reducibility of distinguished parameter ideals and sequentially Cohen-Macaulay modules
Non-Cohen-Macaulay Locus and Non Generalized Cohen-Macaulay Locus
On Irreducible Ideals in Local Rings
dd-SEQUENCES AND PARTIAL EULER–POINCARÉ CHARACTERISTICS OF KOSZUL COMPLEX
On the least degree of polynomials bounding above the differences between lengths and multiplicities of certain systems of parameters in local rings
Verallgemeinerte COHEN-MACAULAY-Moduln
Primary decomposition of homogeneous ideal in idealization of a module
On Macaulayfication of Noetherian schemes
Reducibility index and sum-reducibility index
ON A FAMILY OF COHOMOLOGICAL DEGREES
Toward a theory of generalized Cohen-Macaulay modules

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