Endomorphism Rings of Abelian P-Groups

Wolfgang Liebert
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Wolfgang Liebert: New Mexico State University

Chapter [14] in Études sur les Groupes abéliens / Studies on Abelian Groups, 1968, pp 239-258 from Springer

Abstract: Abstract The well known fact that the set EA of all endomorphisms of an abelian group A forms a ring has suggested the problem of finding necessary and sufficient conditions that an abstract ring be isomorphic to EA for some abelian group A. In two recent papers([2] and [3]) we have solved this problem for the classes of finite and bounded abelian p-groups. The present paper is concerned with the solution of that problem for p-groups without elements of.infinite height.

Keywords: Abelian Group; Left Ideal; Finite Subset; Endomorphism Ring; Divisible Group (search for similar items in EconPapers)
Date: 1968
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-46146-0_14

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DOI: 10.1007/978-3-642-46146-0_14

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