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Structure theorems for regular local Noether lattices

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Publication:2528388
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DOI10.1307/mmj/1028999970zbMath0162.03703OpenAlexW2022988875MaRDI QIDQ2528388

Kenneth P. Bogart

Publication date: 1968

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1028999970

zbMATH Keywords

ordered sets, lattices



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Tidy Noether lattices, Regular ideals in commutative rings, sublattices of regular ideals, and Prüfer rings, Regularity in Terms of Reductions in Local Noether Lattices, Completeness in semi-local ideal lattices, Nonimbeddable Noether Lattices, Structure and embedding theorems for small strong-pi-lattices, Completions of Macaulay local lattices, Small Regular Local Noether Lattices. I, Principal Elements of Lattices of Ideals, On prime divisors of large powers of elements in Noether lattices, A note on regular local Noether lattices II, Maximal elements and completions of Noether lattices, Abstract commutative ideal theory without chain condition, Multiplicative lattices in which every principal element is a product of prime elements, Unique factorization and small regular local Noether lattices, Dilworth's principal elements, Ideal theory in commutative semigroups, Join-principally generated multiplicative lattices



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