On the index of reducibility in Noetherian modules

DOI10.1016/j.jpaa.2015.02.029zbMath1329.13005arXiv1405.1136OpenAlexW2158247624MaRDI QIDQ2348120

Hoang Le Truong, Nguyen Tu Cuong, Pham Hung Quy

Publication date: 10 June 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1136

zbMATH Keywords

associated primessocleindex of reducibilityirreducible submodule

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) Theory of modules and ideals in commutative rings (13C99)

Related Items (11)

Chern coefficients and Cohen-Macaulay rings ⋮ Irreducible decomposition of powers of edge ideals ⋮ The eventual index of reducibility of parameter ideals and the sequentially Cohen-Macaulay property ⋮ Reducibility index and sum-reducibility index ⋮ A uniform bound of reducibility index of good parameter ideals for certain class of modules ⋮ The index of reducibility of powers of a standard parameter ideal ⋮ On the index of reducibility of parameter ideals: the stable and limit values ⋮ Certain monomial ideals whose numbers of generators of powers descend ⋮ G-graded irreducibility and the index of reducibility ⋮ On Hilbert coefficients and sequentially Cohen-Macaulay rings ⋮ Irreducible multiplicity and Ulrich modules

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