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- W80932338 abstract "We consider Baer-Kaplansky type theorems for the class ∑g. The class consists of arbitrary direct sums of the form G = ⊕ i∈I G i , where each G i is a reduced group in the class G of self-small mixed group of finite torsion-free rank. Without loss, the summands G i can be taken to be either essentially indecomposable mixed groups or finite cyclic groups. Let G = ⊕ i∈I G’ i be another such group with E(G’) ≅ E(G). Then G’ ≅G if the essentially indecomposable summands of both groups G, G’ are A 0-cyclic or if the essentially indecomposable summands of G are A 0-cyclic and satisfy certain projection conditions on torsion-free elements. A reduced group H ∈ g is called A 0-cyclic if Q ⊗ H is a cyclic A 0 module for some commutative subalgebra A 0 C Q ⊗ E(H)." @default.
- W80932338 created "2016-06-24" @default.
- W80932338 creator A5058392000 @default.
- W80932338 date "1999-01-01" @default.
- W80932338 modified "2023-09-25" @default.
- W80932338 title "The Baer-Kaplansky theorem for direct sums of self-small mixed groups" @default.
- W80932338 cites W1977833276 @default.
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- W80932338 doi "https://doi.org/10.1007/978-3-0348-7591-2_8" @default.
- W80932338 hasPublicationYear "1999" @default.
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