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A Proof of the Basis Theorem for Finitely Generated Abelian Groups
Author(s) -
Rado R.
Publication year - 1951
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s1-26.2.160-t
Subject(s) - abelian group , mathematics , basis (linear algebra) , pure mathematics , discrete mathematics , calculus (dental) , geometry , medicine , dentistry
It was pointed out to the author by A. Winte nitz that b v does not exist if a v < 0; f v = a v ; y ¯v = y v for the remaining v . Then the proof proceeds as in the earlier note, with y ¯v , a ¯v in place of y v , a v .