Algebra and Logic

, Volume 37, Issue 1, pp 48–55 | Cite as

Summability of a ring of endomorphisms of vector groups

  • A. M. Sebel’din
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Abstract

Sufficient conditions are found for arbitrary endomorphisms to have a presentation by sum of automorphisms in the class of Abelian groups whose endomorphism rings are isomorphic to a ring of finite-rowed matrices. This result is then used to establish a criterion for such a presentation in terms of type language for vector Abelian groups, whose reduced part does not exceed the first cardinal of nonzero measure.

Keywords

Abelian Group Group Automorphism Direct Summand Endomorphism Ring Type Language 
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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • A. M. Sebel’din

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