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- W154225243 abstract "For any ring R, let ℐ (R) be the unique Boolean lattice of two sided ideals which is isomorphic to the lattice of natural classes of non-singular right R-modules N f (R). Let 1 = 1 R = 1 Q ∈ R ⊂ Q be rings with R ⊂ Q an essential extension of right R-modules. Under some appropriate assumptions it is shown that there is an isomorphism of Boolean lattices Ψ: ℐ (R) → ℐ (Q). The natural inclusion map φ: R → Q, induces a natural order preserving map φ*: N f (Q → N f (R of the Boolean lattices of natural classes of Q and R. It is shown that φ* is essentially the inverse of Ψ." @default.
- W154225243 created "2016-06-24" @default.
- W154225243 creator A5008488001 @default.
- W154225243 date "2010-01-01" @default.
- W154225243 modified "2023-09-27" @default.
- W154225243 title "Over Rings and Functors" @default.
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- W154225243 doi "https://doi.org/10.1007/978-3-0346-0286-0_9" @default.
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