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A short algebraic proof of a theorem of Warfield
Author(s) -
Laradji A.
Publication year - 1993
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s002557930000704x
Subject(s) - mathematics , algebraic number , embedding , pure mathematics , direct proof , character (mathematics) , discrete mathematics , algebra over a field , mathematical analysis , geometry , artificial intelligence , computer science
In this note we give a direct algebraic proof of a theorem of Warfield on algebraically compact modules. It is shorter than the one given by Azumaya in [1], in that it does not use the embedding of a module M into M ** (where M * is the character Hom z ( M , Q/Z )).