Structure and embedding theorems for small strong-pi-lattices

DOI10.1007/BF01191761zbMath0465.06011OpenAlexW2004819637MaRDI QIDQ1154490

E. W. Johnson, Johnny A. Johnson, Daniel D. Anderson

Publication date: 1983

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191761

zbMATH Keywords

principal elementdistributive special pi-latticelocal Noether latticesminimal principal primes

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Structure theory of lattices (06B05) Noether lattices (06F10)

Cites Work

• Abstract commutative ideal theory
• Distributive Noether lattices
• Arithmetically embeddable local 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
• Structure theorems for regular local Noether lattices
• Distributive local Noether lattices
• Noether Lattices Representable as Quotients of the Lattice of Monomially Generated Ideals of Polynomial Rings
• Prime sequences and distributivity in local Noether lattices
• A-Transforms and Hilbert Functions in Local Lattices
• M-Primary Elements of a Local Noether Lattice
• A Structural Approach to Noether Lattices

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