Open AccessExtensions of nice bases on Ulm subgroups of primary Abelian groups with totally projective quotients
Author(s) -
Peter Danchev,
Patrick W. Keef
Publication year - 2013
Publication title -
sarajevo journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 2233-1964
pISSN - 1840-0655
DOI - 10.5644/sjm.09.2.03
Subject(s) - mathematics , abelian group , quotient , pure mathematics , projective test , nice , primary (astronomy) , algebra over a field , computer science , programming language , physics , astronomy
SupposeG is an abelian p-group, α is an ordinal andG/pG is totally projective. We show that G has a nice basis if and only if pG has a nice basis. This extends results of Danchev in Bull. Malaysian Math. Sci. Soc. (2010), Bull. Allah. Math. Soc. (2011) and An. St. Univ. Ovidius Constanta (2012), as well as joint work with Keef in Rocky Mount. J. Math. (2011).
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