no. 2
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 
@article{AMBP_2011__18_2_245_0,
     author = {Danchev, Peter},
     title = {Fully {Invariant} {Subgroups} of $n${-Summable} {Primary} {Abelian} {Groups}},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {245--250},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {18},
     number = {2},
     year = {2011},
     doi = {10.5802/ambp.298},
     zbl = {1238.20065},
     mrnumber = {2896488},
     language = {en},
     url = {http://archive.numdam.org/articles/10.5802/ambp.298/}
}
TY  - JOUR
AU  - Danchev, Peter
TI  - Fully Invariant Subgroups of $n$-Summable Primary Abelian Groups
JO  - Annales mathématiques Blaise Pascal
PY  - 2011
SP  - 245
EP  - 250
VL  - 18
IS  - 2
PB  - Annales mathématiques Blaise Pascal
UR  - http://archive.numdam.org/articles/10.5802/ambp.298/
DO  - 10.5802/ambp.298
LA  - en
ID  - AMBP_2011__18_2_245_0
ER  - 
%0 Journal Article
%A Danchev, Peter
%T Fully Invariant Subgroups of $n$-Summable Primary Abelian Groups
%J Annales mathématiques Blaise Pascal
%D 2011
%P 245-250
%V 18
%N 2
%I Annales mathématiques Blaise Pascal
%U http://archive.numdam.org/articles/10.5802/ambp.298/
%R 10.5802/ambp.298
%G en
%F AMBP_2011__18_2_245_0
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://archive.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

Cité par Sources :