| Title:
|
Homomorphisms between $A$-projective Abelian groups and left Kasch-rings (English) |
| Author:
|
Albrecht, Ulrich |
| Author:
|
Jeong, Jong-Woo |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
31-43 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
mixed Abelian group |
| Keyword:
|
endomorphism ring |
| Keyword:
|
Kasch ring |
| Keyword:
|
$A$-solvable group |
| MSC:
|
20K20 |
| MSC:
|
20K21 |
| MSC:
|
20K25 |
| MSC:
|
20K30 |
| idZBL:
|
Zbl 0931.20043 |
| idMR:
|
MR1614064 |
| . |
| Date available:
|
2009-09-24T10:10:43Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127396 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| . |
