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Matematicheskie Zametki, 2004, Volume 75, Issue 1, Pages 100–108
DOI: https://doi.org/10.4213/mzm10
(Mi mzm10)
 

When Is the Group $\operatorname{Hom}(A,B)$ an Injective $E(B)$-Module?

P. A. Krylov, E. G. Pakhomova

Tomsk State University
References:
Abstract: Injectivity conditions for the homomorfism group $\operatorname{Hom}(A,B)$ regarded as a left module over the endomorfism ring of the group $B$ are found for arbitrary Abelian groups $A$ and $B$, where $B$ is nonreduced.
Received: 05.07.2002
English version:
Mathematical Notes, 2004, Volume 75, Issue 1, Pages 93–100
DOI: https://doi.org/10.1023/B:MATN.0000015024.34930.7a
Bibliographic databases:
UDC: 512.541
Language: Russian
Citation: P. A. Krylov, E. G. Pakhomova, “When Is the Group $\operatorname{Hom}(A,B)$ an Injective $E(B)$-Module?”, Mat. Zametki, 75:1 (2004), 100–108; Math. Notes, 75:1 (2004), 93–100
Citation in format AMSBIB
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\by P.~A.~Krylov, E.~G.~Pakhomova
\paper When Is the Group $\operatorname{Hom}(A,B)$ an Injective $E(B)$-Module?
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\pages 100--108
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\transl
\jour Math. Notes
\yr 2004
\vol 75
\issue 1
\pages 93--100
\crossref{https://doi.org/10.1023/B:MATN.0000015024.34930.7a}
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