Fully Invariant Subgroups of n-Summable Primary Abelian Groups
Danchev, Peter1
1 Department of Mathematics Plovdiv State University 24 Tzar Assen St. Plovdiv 4000 BGR
Annales mathématiques Blaise Pascal, Tome 18 (2011) no. 2, pp. 245-250.

We present a number of results concerning fully invariant subgroups of n-summable groups.

DOI : 10.5802/ambp.298
Classification : 20K10
Mots-clés : $n$-summable groups, fully invariant subgroups, quotients, $\sigma $-summable groups.
Danchev, Peter 1

1 Department of Mathematics Plovdiv State University 24 Tzar Assen St. Plovdiv 4000 BGR 
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Danchev, Peter. Fully Invariant Subgroups of $n$-Summable Primary Abelian Groups. Annales mathématiques Blaise Pascal, Tome 18 (2011) no. 2, pp. 245-250. doi : 10.5802/ambp.298. http://www.numdam.org/articles/10.5802/ambp.298/

[1] Danchev, P. Commutative group algebras of summable p-groups, Commun. Algebra, Volume 35 (2007), pp. 1275-1289 | DOI | MR | Zbl

[2] Danchev, P. Notes on λ-large subgroups of primary abelian groups and free valuated vector spaces, Bull. Allahabad Math. Soc., Volume 23 (2008), pp. 149-154 | MR | Zbl

[3] Danchev, P. On λ-large subgroups of n-summable C ω 1 -groups, SUT J. Math., Volume 44 (2008), pp. 33-37 | MR | Zbl

[4] Danchev, P. On some fully invariant subgroups of summable groups, Ann. Math. Blaise Pascal, Volume 15 (2008), pp. 147-152 | DOI | Numdam | MR | Zbl

[5] Danchev, P. On λ-large subgroups of summable C Ω -groups, Algebra Colloq., Volume 16 (2009), pp. 649-652 | MR | Zbl

[6] Danchev, P.; Keef, P. Generalized Wallace theorems, Math. Scand., Volume 104 (2009), pp. 33-50 | MR | Zbl

[7] Danchev, P.; Keef, P. n-Summable valuated p n -socles and primary abelian groups, Commun. Algebra, Volume 38 (2010), pp. 3137-3153 | DOI | MR | Zbl

[8] Fucs, L. Infinite Abelian Groups I and II, Academic Press, New York and London, 1970 and 1973 | Zbl

[9] Kaplansky, I. Infinite Abelian Groups, University of Michigan Press, Ann Arbor, 1954 and 1969 | MR | Zbl

[10] Linton, R. On fully invariant subgroups of primary abelian groups, Mich. Math. J., Volume 22 (1975), pp. 281-284 | MR | Zbl

[11] Linton, R. λ-large subgroups of C λ -groups, Pac. J. Math., Volume 75 (1978), pp. 477-485 | MR | Zbl

[12] Linton, R.; Megibben, C. Extensions of totally projective groups, Proc. Amer. Math. Soc., Volume 64 (1977), pp. 35-38 | DOI | MR | Zbl

[13] Nunke, R. Homology and direct sums of countable abelian groups, Math. Z., Volume 101 (1967), pp. 182-212 | DOI | MR | Zbl

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