On almost ω1-n-simply presented Abelian p-groups | Zendy

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On almost ω1-n-simply presented Abelian p-groups

Author(s) -

Peter Danchev

Publication year - 2015

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim041109001d

Subject(s) - abelian group , mathematics , torsion subgroup , torsion (gastropod) , pure mathematics , class (philosophy) , rank of an abelian group , non abelian group , combinatorics , algebra over a field , elementary abelian group , computer science , medicine , artificial intelligence , surgery

Let n 0 be an arbitrary integer. We dene the class of almost n-simply presented abelian p-groups. It naturally strength- ens all the notions of almost simply presented groups introduced by Hill and Ullery in Czechoslovak Math. J. (1996), n-simply presented p-groups dened by the present author and Keef in Houston J. Math. (2012), and almost !1-p !+n -projective groups developed by the same author in an upcoming publication (3). Some comprehensive charac- terizations of the new concept are established such as Nunke-esque results as well as results on direct summands and !1-bijections.

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