Infinite coverings of ideals by cosets with applications to regular sequences and balanced big Cohen–Macaulay modules

DOI10.1017/S0305004100068730zbMath0716.13008MaRDI QIDQ3203122

Andrew J. Duncan

Publication date: 1990

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

regular sequencesbalanced big Cohen- Macaulay modulescoverings of ideals by cosets

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Ideals and multiplicative ideal theory in commutative rings (13A15) Cohen-Macaulay modules (13C14) Complete rings, completion (13J10) Theory of modules and ideals in commutative rings (13C99)

Related Items (4)

Prime avoidance property ⋮ On finite unions of ideals and cosets ⋮ Monoidal extensions of a Cohen-Macaulay unique factorization domain ⋮ On the splitting of big Cohen-Macaulay modules

Cites Work

• Unnamed Item
• Codimension and multiplicity
• Baire's category theorem and prime avoidance in complete local rings
• A representation theorem for complete local rings
• Maximal Cohen-Macaulay modules and representation theory
• Ideals of the principal class, R-sequences and a certain monoidal transformation
• Contracted ideals in Krull domains
• A Note on Finite Unions of Ideals and Subgroups
• On the $\mu^i$ in a minimal injective resolution II.

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