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Vaught's Conjecture for Modules Over a Dedekind Prime Ring
Author(s) -
Puninskaya Vera
Publication year - 1999
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609398005360
Subject(s) - mathematics , countable set , prime (order theory) , conjecture , dedekind cut , associated prime , ring (chemistry) , pure mathematics , combinatorics , discrete mathematics , chemistry , organic chemistry
It is proved that Vaught's conjecture is true for modules over an arbitrary countable Dedekind prime ring. It follows from the structural result that every module with few types over a countable Dedekind prime ring is ω‐stable. 1991 Mathematics Subject Classification 03C60, 16D.