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Dilworth's principal elements

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4899-3558-8openalex-snapshot
The Dilworth Theorems
inferredcites →https://doi.org/10.1007/978-1-4899-3558-8_32openalex-snapshot
Residuated Lattices
inferredcites →https://doi.org/10.1007/978-1-4899-3558-8_35openalex-snapshot
Abstract Commutative Ideal Theory
inferredcites →https://doi.org/10.1007/bf01188388openalex-snapshot
Modules: Duals and principally generated fake duals
inferredcites →https://doi.org/10.1007/bf01191494openalex-snapshot
Join-principally generated multiplicative lattices
inferredcites →https://doi.org/10.1007/bf02485825openalex-snapshot
Abstract commutative ideal theory without chain condition
inferredcites →https://doi.org/10.1007/bf02485844openalex-snapshot
Weak join-principal element lattices
inferredcites →https://doi.org/10.1007/bf02573445openalex-snapshot
Ideal theory in commutative semigroups
inferredcites →https://doi.org/10.1016/0021-8693(77)90233-2openalex-snapshot
Fake rings, fake modules, and duality
inferredcites →https://doi.org/10.1016/0021-8693(77)90318-0openalex-snapshot
Another generalization of principal ideal rings
inferredcites →https://doi.org/10.1016/0021-8693(87)90226-2openalex-snapshot
Regular ideals in commutative rings, sublattices of regular ideals, and Prüfer rings
inferredcites →https://doi.org/10.1090/s0002-9939-1971-0279080-4openalex-snapshot
Principal Elements of Lattices of Ideals
inferredcites →https://doi.org/10.1090/s0002-9939-1972-0284424-4openalex-snapshot
Principal Ideals in the Ideal Lattice
inferredcites →https://doi.org/10.1090/s0002-9939-1972-0306174-8openalex-snapshot
Join-Principal Elements in Noether Lattices
inferredcites →https://doi.org/10.1090/s0002-9939-1976-0404067-2openalex-snapshot
Join-Principal Element Lattices
inferredcites →https://doi.org/10.1090/s0002-9947-1969-0237387-6openalex-snapshot
𝐴-transforms and Hilbert functions in local lattices
inferredcites →https://doi.org/10.1112/blms/6.2.234openalex-snapshot
MULTIPLICATIVE IDEAL THEORY
inferredcites →https://doi.org/10.1307/mmj/1028999970openalex-snapshot
Structure theorems for regular local Noether lattices.
inferredcites →https://doi.org/10.1307/mmj/1029000264openalex-snapshot
Distributive local Noether lattices.
inferredcites →https://doi.org/10.21136/cmj.1996.127274openalex-snapshot
Principal element lattices
inferredcites →https://doi.org/10.2140/pjm.1962.12.481openalex-snapshot
Abstract commutative ideal theory
inferredcites →https://doi.org/10.2140/pjm.1971.37.101openalex-snapshot
Structure of Noether lattices with join-principal maximal elements
inferredcites →https://doi.org/10.2307/1968944openalex-snapshot
The Lattice Theory of Ova
inferredcites →https://doi.org/10.4064/fm-75-3-235-247openalex-snapshot
The restricted cancellation law in a Noether lattice
inferredcites →https://doi.org/10.4064/fm-86-2-149-156openalex-snapshot
Prime sequences and distributivity in local Noether lattices
inferredcites →https://doi.org/10.4153/cjm-1976-072-1openalex-snapshot
Multiplication Ideals, Multiplication Rings, and the Ring R(X)

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-1-4419-6990-3_1openalex-snapshot
Principal-like ideals and related polynomial content conditions
inferred← citeshttps://doi.org/10.1007/978-3-031-88878-6_4openalex-snapshot
Prime and Primary Ideals and Noetherian Conditions
inferred← citeshttps://doi.org/10.1007/s00012-008-2066-0openalex-snapshot
Regular elements in multiplicative lattices
inferred← citeshttps://doi.org/10.1007/s00012-017-0423-6openalex-snapshot
Weak complemented and weak invertible elements in C-lattices
inferred← citeshttps://doi.org/10.1007/s00012-019-0597-1openalex-snapshot
Radical factorization in commutative rings, monoids and multiplicative lattices
inferred← citeshttps://doi.org/10.1007/s00012-021-00714-9openalex-snapshot
On principal element lattices
inferred← citeshttps://doi.org/10.1007/s10485-025-09808-0openalex-snapshot
Lawvere’s Frobenius Reciprocity, the Modular Connections of Grandis and Dilworth’s Abstract Principal Ideals
inferred← citeshttps://doi.org/10.1007/s40065-012-0059-5openalex-snapshot
Some remarks on Dedekind lattices
inferred← citeshttps://doi.org/10.1023/a:1014932204184openalex-snapshot
Sublattices of regular elements
inferred← citeshttps://doi.org/10.1023/a:1021731930659openalex-snapshot
Primary elements in Prüfer lattices
inferred← citeshttps://doi.org/10.1023/a:1026235303758openalex-snapshot
Laskerian Lattices
inferred← citeshttps://doi.org/10.1023/b:cmaj.0000027253.52832.6copenalex-snapshot
Almost π-Lattices
inferred← citeshttps://doi.org/10.1080/00927870008826970openalex-snapshot
Two star-operations and their induced lattices
inferred← citeshttps://doi.org/10.1080/00927870008826980openalex-snapshot
Some remarks on multiplication ideals, ii
inferred← citeshttps://doi.org/10.1080/00927872.2011.587212openalex-snapshot
Weakly Prime Elements in Multiplicative Lattices
inferred← citeshttps://doi.org/10.1080/00927872.2012.761229openalex-snapshot
2-Absorbing and Weakly 2-Absorbing Elements in Multiplicative Lattices
inferred← citeshttps://doi.org/10.1080/00927872.2016.1233204openalex-snapshot
Weak π-rings
inferred← citeshttps://doi.org/10.1080/00927872.2025.2505079openalex-snapshot
Multiplicative lattices with absorbing factorization
inferred← citeshttps://doi.org/10.1155/2014/754019openalex-snapshot
Principal Mappings between Posets
inferred← citeshttps://doi.org/10.1155/2014/890312openalex-snapshot
ϕ -Prime and ϕ -Primary Elements in Multiplicative Lattices
inferred← citeshttps://doi.org/10.5556/j.tkjm.31.2000.383openalex-snapshot
$S$-lattices
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