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- W3166008236 abstract "We study (strictly) join irreducible varieties in the lattice of subvarieties of residuated lattices. We explore the connections with well-connected algebras and suitable generalizations, focusing in particular on representable varieties. Moreover we find weakened notions of Hallden completeness that characterize join irreducibility. We characterize strictly join irreducible varieties of basic hoops, and use the generalized rotation construction to find strictly join irreducible varieties in subvarieties of MTL-algebras. We also obtain some general results about linear varieties of residuated lattices, with a particular focus on representable varieties, and a characterization for linear varieties of basic hoops." @default.
- W3166008236 created "2021-06-22" @default.
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- W3166008236 date "2021-05-04" @default.
- W3166008236 modified "2023-10-18" @default.
- W3166008236 title "Strictly join irreducible varieties of residuated lattices" @default.
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