Join-principally generated multiplicative lattices

DOI10.1007/BF01191494zbMath0547.06011OpenAlexW2012761517MaRDI QIDQ798684

E. W. Johnson, Daniel D. Anderson

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01191494

zbMATH Keywords

primary decompositionschain conditionsPrincipal Ideal TheoremIntersection Theoremmultiplicative complete modular lattice

Mathematics Subject Classification ID

Lattice ideals, congruence relations (06B10) Ordered semigroups and monoids (06F05) Noether lattices (06F10)

Related Items (6)

Tertiary decompositions in lattice modules ⋮ Some results on abstract commutative ideal theory ⋮ Nakayama's lemma for acts over monoids. ⋮ Principal mappings between posets ⋮ Dilworth's principal elements ⋮ Ideal theory in commutative semigroups

Cites Work

• Unnamed Item
• Abstract commutative ideal theory
• Abstract commutative ideal theory without chain condition
• Structure theorems for regular local Noether lattices
• Distributive local Noether lattices
• Residuated Lattices

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