Homomorphisms between $A$-projective Abelian groups and left Kasch-rings

@article{Albrecht1998,
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 $\Pi _p A_p$, and iii) $\mathop \{\mathrm \{H\}om\}\nolimits (A,tA)$ 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.},
author = {Albrecht, Ulrich F., Jeong, Jong-Woo},
journal = {Czechoslovak Mathematical Journal},
keywords = {mixed Abelian group; endomorphism ring; Kasch ring; $A$-solvable group; mixed Abelian groups; endomorphism rings; left Kasch rings; -solvable groups; groups of finite torsion-free rank},
language = {eng},
number = {1},
pages = {31-43},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Homomorphisms between $A$-projective Abelian groups and left Kasch-rings},
url = {http://eudml.org/doc/30399},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Albrecht, Ulrich F.
AU - Jeong, Jong-Woo
TI - Homomorphisms between $A$-projective Abelian groups and left Kasch-rings
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 1
SP - 31
EP - 43
AB - 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 $\Pi _p A_p$, and iii) $\mathop {\mathrm {H}om}\nolimits (A,tA)$ 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.
LA - eng
KW - mixed Abelian group; endomorphism ring; Kasch ring; $A$-solvable group; mixed Abelian groups; endomorphism rings; left Kasch rings; -solvable groups; groups of finite torsion-free rank
UR - http://eudml.org/doc/30399
ER -