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Endomorphism Rings of Abelian P-Groups

In: Études sur les Groupes abéliens / Studies on Abelian Groups

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  • Wolfgang Liebert

    (New Mexico State University)

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.

Suggested Citation

  • Wolfgang Liebert, 1968. "Endomorphism Rings of Abelian P-Groups," Springer Books, in: Études sur les Groupes abéliens / Studies on Abelian Groups, chapter 0, pages 239-258, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-46146-0_14
    DOI: 10.1007/978-3-642-46146-0_14
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