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

Title:

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

Creator:

Abrecht, Ulrich and Jeong, Jong-Woo

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:cde26536-0053-4386-98b8-390f005befd6
uuid:cde26536-0053-4386-98b8-390f005befd6

Subject:

mixed Abelian group, endomorphism ring, Kasch ring, and $A$-solvable group

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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) $\mathop {\mathrm Hom}\nolimits (A,tA)$ 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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

31-43

Source:

Czechoslovak Mathematical Journal | 1998 Volume:48 | Number:1

Harvested from:

CDK

Metadata only:

false