A duality principle for lattices and categories of modules

DOI10.1016/0022-4049(77)90014-7zbMath0366.18009OpenAlexW2067886987MaRDI QIDQ1241799

K. Appert

Publication date: 1978

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(77)90014-7

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Varieties (08B99) Categorical embedding theorems (18E20) Representation theory of associative rings and algebras (16Gxx)

Related Items (7)

Representations of additive relation algebras by modules ⋮ Submodule lattice quasivarieties and exact embedding functors for rings with prime power characteristic ⋮ On some identities valid in modular congruence varieties ⋮ Exact embedding functors between categories of modules ⋮ Endomorphism rings of modules and lattices of submodules ⋮ A test for identities satisfied in lattices of submodules ⋮ Exact embedding functors for module categories and submodule lattice quasivarieties

Cites Work

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• Recursively unsolvable word problems of modular lattices and diagram- chasing
• Zum Begriff der Charakteristik modularer Verbände
• Embedding and unsolvability theorems for modular lattices
• Concreteness
• Modular lattices and abelian categories
• The class of Arguesian lattices is self-dual
• The representation of lattices by modules
• On the Representation of Lattices by Modules
• Consistency of the Continuum Hypothesis. (AM-3)
• Complemented Modular Lattices and Projective Spaces of Infinite Dimension

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