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Homomorphisms between A-Projective Abelian Groups and Left Kasch-Rings

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Abstract

Glaz and Wickless introduced the class G of mixed abelian groups A which have finite torsion-free rank and satisfy the following three properties: i) A p is finite for all primes p, ii) A is isomorphic to a pure subgroup of Π P A P and iii) Hom(A, tA) is torsion. A ring R is a left Kasch ring if every proper right ideal of R has a non-zero left annihilator. We characterize the elements A of G such that E(A)/tE(A) is a left Kasch ring, and discuss related results.

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Authors and Affiliations

  1. Department of Mathematics, Auburn University, AL, 36849, Auburn, USA

    Ulrich Albrecht

  2. Department of Mathematics, Chonbuk National University, Chonju, Chonbuk, 560-756, Korea

    Jong-Woo Jeong

Authors
  1. Ulrich Albrecht
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  2. Jong-Woo Jeong
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Albrecht, U., Jeong, JW. Homomorphisms between A-Projective Abelian Groups and Left Kasch-Rings. Czechoslovak Mathematical Journal 48, 31–43 (1998). https://doi.org/10.1023/A:1022459309880

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  • DOI: https://doi.org/10.1023/A:1022459309880

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