Separable and vector groups whose projectively invariant subgroups are fully invariant-Reference-Cited by-同舟云学术

Separable and vector groups whose projectively invariant subgroups are fully invariant

Published:2009-07 Issue:4 Volume:50 Page:748-756
ISSN:0037-4466
Container-title:Siberian Mathematical Journal
language:en
Short-container-title:Sib Math J

Author:

Chekhlov A. R.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11202-009-0086-4.pdf

Reference5 articles.

1. Grinshpon S. Ya., “On the structure of fully invariant subgroups of torsion-free abelian groups,” in: Abelian Groups and Modules [in Russian], Tomsk, 1981, pp. 56–92.

2. Megibben C., “Projection-invariant subgroups of Abelian groups,” Tamkang J. Math., 8, No. 2, 177–182 (1977).

3. Fuchs L., Infinite Abelian Groups. Vol. 1 and 2, Academic Press, New York; London (1970; 1973).

4. Eremina M. V. and Krylov P. A., “The tensor product of abelian groups as a Noetherian module over an endomorphism ring,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 4, 16–23 (2001).

5. Chekhlov A. P., “Properties of subgroups of abelian groups that are invariant over projections,” Vestnik Tomsk Univ. Mat. Mekh., No. 1(2), 76–82 (2008).

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