International Journal of Mathematics and Statistics Studies (IJMSS)

EA Journals

Ulm Function Analysis of Full Transitivity in Primary Abelian Groups


This research addresses the problem posed by Chekhlov and Danchev (2015) regarding variations of Kaplansky’s full transitivity in primary abelian groups 𝐺. By delving into three distinct forms of full transitivity within the endomorphism ring of 𝐺, specifically focusing on subgroups, subrings, and unitary subrings generated by commutator endomorphisms, we aim to provide a comprehensive understanding of the totally projective groups exhibiting these properties. The Ulm function of 𝐺 emerges as a key tool in solving this problem and related inquiries, leading to a precise characterization of the groups involved.

Keywords: Kaplansky's notion, commutator endomorphisms., endomorphism ring, full transitivity, primary Abelian groups, totally projective groups, ulm function

cc logo

This work by European American Journals is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 Unported License


Recent Publications

Email ID:
Impact Factor: 7.80
Print ISSN: 2053-2229
Online ISSN: 2053-2210

Author Guidelines
Submit Papers
Review Status


Scroll to Top

Don't miss any Call For Paper update from EA Journals

Fill up the form below and get notified everytime we call for new submissions for our journals.