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- W1580435510 abstract "An ω1-separable p-group is an abelian p-group such that every countable subset is contained in a countable Σ-cyclic summand. Our goal is to study the endomorphism ring, E(A) , of such a group, A , of cardinality ω l, in the spirit of Pierce [P] and Corner [C], who investigated E(A) , for arbitrary separable A , modulo the ideal Es(A) of small endomorphisms. Their work, together with later work of Dugas-Gobel [DG] and Shelah [Sh],provided realizability theorems for E(A)/Es(A) . (All the results are theorems of ZFC). In particular, [DG] and [Sh] construct a family of groups realizing a given ring which is rigid in the sense that all homomorphisms between two different members of the family are small." @default.
- W1580435510 created "2016-06-24" @default.
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- W1580435510 date "1983-01-01" @default.
- W1580435510 modified "2023-09-27" @default.
- W1580435510 title "On Endomorphism Rings of ω1-Separable Primary Groups" @default.
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- W1580435510 doi "https://doi.org/10.1007/978-3-662-21560-9_16" @default.
- W1580435510 hasPublicationYear "1983" @default.
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