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- W3202792460 abstract "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 Halldén 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 $mathsf{MTL}$-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.
- W3202792460 created "2021-10-11" @default.
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- W3202792460 date "2021-09-27" @default.
- W3202792460 modified "2023-10-18" @default.
- W3202792460 title "Strictly join irreducible varieties of residuated lattices" @default.
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- W3202792460 doi "https://doi.org/10.1093/logcom/exab059" @default.
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