Fully Invariant Subgroups, Full Transitivity, and Homomorphism Groups of Abelian Groups

2005 ◽  
Vol 128 (3) ◽  
pp. 2894-2997 ◽  
Author(s):  
S. Ya. Grinshpon ◽  
P. A. Krylov
Keyword(s):  
Abelian Groups ◽  
Full Transitivity ◽  
Fully Invariant Subgroups

scholarly journals On fully invariant subgroups of primary abelian groups.

1976 ◽  
Vol 22 (3) ◽  
pp. 281-284 ◽  
Author(s):  
Ronald C. Linton
Keyword(s):  
Abelian Groups ◽  
Fully Invariant Subgroups

Full transitivity of Abelian groups

2008 ◽  
Vol 154 (3) ◽  
pp. 350-373
Author(s):  
V. M. Misyakov
Keyword(s):  
Abelian Groups ◽  
Full Transitivity

On commutator fully transitive Abelian groups

2015 ◽  
Vol 0 (0) ◽  
Author(s):  
Andrey R. Chekhlov ◽  
Peter V. Danchev
Keyword(s):  
Abelian Group ◽  
Endomorphism Ring ◽  
Abelian Groups ◽  
Current Work ◽  
Full Transitivity

AbstractThere are two rather natural questions which arise in connection with the endomorphism ring of an Abelian group: when is the ring generated by its commutators, and when is the ring additively generated by its commutators? The current work explores these two problems for arbitrary Abelian groups. This leads in a standard way to consideration of two improved versions of Kaplansky's notion of full transitivity, which we call

scholarly journals STRONGLY INVARIANT SUBGROUPS

2014 ◽  
Vol 57 (2) ◽  
pp. 431-443 ◽  
Author(s):  
GRIGORE CĂLUGĂREANU
Keyword(s):  
Abelian Groups ◽  
Fully Invariant Subgroups ◽  
Special Case

AbstractAs a special case of fully invariant subgroups, strongly invariant subgroups are introduced and studied for Abelian groups.

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