Injective modules and linear growth of primary decompositions

DOI10.1090/S0002-9939-99-05170-9zbMath0940.13006OpenAlexW1577503229WikidataQ114093932 ScholiaQ114093932MaRDI QIDQ4699571

Rodney Y. Sharp

Publication date: 17 November 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05170-9

zbMATH Keywords

primary decompositionNoetherian ringassociated prime idealsArtin-Rees lemmaannihilators of injective modules

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (7)

LINEAR GROWTH OF PRIMARY DECOMPOSITIONS OF MODULES AND INTEGRAL CLOSURES ⋮ Adjunction ofpth Roots to Dedekind Domains and Injective Modules ⋮ Ideals in a perfect closure, linear growth of primary decompositions, and tight closure ⋮ Ratliff–Rush closures and linear growth of primary decompositions of ideals ⋮ Primary decomposition: Compatibility, independence and linear growth ⋮ Growth of primary decompositions of Frobenius powers of ideals ⋮ Primary decomposition. II: Primary components and linear growth

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