Irreducible multiplicity and Ulrich modules

DOI10.1216/rmj.2022.52.1795zbMath1502.13054OpenAlexW4385640483MaRDI QIDQ2106274

Tran Nguyen An, Shinya Kumashiro

Publication date: 14 December 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-5/Irreducible-multiplicity-and-Ulrich-modules/10.1216/rmj.2022.52.1795.full

zbMATH Keywords

Ulrich moduleHilbert multiplicityirreducible multiplicityreducibility index

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• On the uniform bound of the index of reducibility of parameter ideals of a module whose polynomial type is at most one
• Index of reducibility of parameter ideals in a local ring
• Sally modules of rank one
• The structure of Sally modules of rank one
• \(\Delta\)-genera and sectional genera of commutative rings
• Asymptotic behaviour of good systems of parameters of sequentially generalized Cohen-Macaulay modules
• Certain monomial ideals whose numbers of generators of powers descend
• Ideals of reduction number two
• On the index of reducibility in Noetherian modules
• Chern coefficients and Cohen-Macaulay rings
• Index of reducibility of distinguished parameter ideals and sequentially Cohen-Macaulay modules
• On Irreducible Ideals in Local Rings
• Maximally generated Cohen-Macaulay modules.
• On colon operations and special types of ideals
• Reducibility index and sum-reducibility index
• The number of irreducible components of an ideal and the semi-regularity of a local ring
• Ulrich ideals and modules
• A Note on the Coefficients of the Abstract Hilbert Function

This page was built for publication: Irreducible multiplicity and Ulrich modules