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- W2059580006 abstract "For any ring R, the set 𝒩(R) of all natural classes of R-modules is a complete Boolean lattice, which is a direct sum of two convex and complete Boolean sublattices 𝒩(R) = 𝒩 t (R) ⊕ 𝒩 f (R), where the last summand is the set of all nonsingular natural classes. The ring R contains a unique lattice of ideals 𝒥(R) which is lattice isomorphic to 𝒩 f (R). The present note develops the analogue of all of the above for an arbitrary R-module M, so that in the special case when M R = R R , the known lattice isomorphism 𝒥(R) ≅ 𝒩 f (R) is recovered." @default.
- W2059580006 created "2016-06-24" @default.
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- W2059580006 date "2010-06-14" @default.
- W2059580006 modified "2023-09-26" @default.
- W2059580006 title "Ideals, Natural Classes, and Functors" @default.
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- W2059580006 doi "https://doi.org/10.1080/00927871003757535" @default.
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