Exact embedding functors between categories of modules

DOI10.1016/0022-4049(82)90095-0zbMath0483.16036OpenAlexW2022572338WikidataQ126594245 ScholiaQ126594245MaRDI QIDQ1163080

S. Singh

Publication date: 1982

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(82)90095-0

zbMATH Keywords

compound diagrammatic statementexact embedding functorfaithfully flat modulelattice representable by modulesuniversal McKinsey sentence

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Categorical embedding theorems (18E20) Foundations, relations to logic and deductive systems (18A15) Representation theory of associative rings and algebras (16Gxx)

Related Items (5)

Some lattice Horn sentences for submodules of prime power characteristic ⋮ Addendum to: Exact embedding functors between categories of modules ⋮ Exact Embedding Functors and Left Coherent Rings ⋮ Submodule lattice quasivarieties and exact embedding functors for rings with prime power characteristic ⋮ Exact embedding functors for module categories and submodule lattice quasivarieties

Cites Work

• Recursively unsolvable word problems of modular lattices and diagram- chasing
• 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
• Modular lattices and abelian categories
• Intrinsic Characterizations of Some Additive Functors
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