On the Representation of Lattices by Modules

DOI10.2307/1997388zbMath0328.06002OpenAlexW4251936687MaRDI QIDQ4093491

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Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997388

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Structure theory of lattices (06B05)

Related Items (11)

Orthosystems of submodules of a module ⋮ Finitely based modular congruence varietes are distributive ⋮ General geometric lattices and projective geometry of modules ⋮ A complete logic for n-permutable congruence lattices ⋮ Endomorphism rings of modules and lattices of submodules ⋮ The class of sublattices of normal subgroup lattices is not elementary ⋮ A duality principle for lattices and categories of modules ⋮ Universal Horn axiom systems for lattices of submodules ⋮ A test for identities satisfied in lattices of submodules ⋮ Mal'cev conditions for Horn sentences with congruence permutability ⋮ Exact embedding functors for module categories and submodule lattice quasivarieties

Cites Work

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• Universal Horn axiom systems for lattices of submodules
• Primitive Länge und primitive Weite bei modularen Verbänden
• Relation algebras and function semigroups
• Modular lattices and abelian categories
• The representation of lattices by modules
• Imbedding of Abelian Categories
• Representation of Modular Lattices and Of Relation Algebras
• On Implicationally Defined Classes of Algebras
• On axiomatizability within a system
• On the representation of lattices

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