English

On Two Generalizations of Perspective Abelian Groups

Group Theory 2025-09-09 v1 Rings and Algebras

Abstract

We are generalizing in two non-trivial ways the recently defined perspective Abelian groups to the so-called IC-groups and TP-groups, respectively, and obtain numerous results in these two directions that can be viewed as improvements on their rather more complicated structures and properties.

Keywords

Cite

@article{arxiv.2509.05994,
  title  = {On Two Generalizations of Perspective Abelian Groups},
  author = {Andrey R. Chekhlov and Peter V. Danchev and Özg ür Taşdemir},
  journal= {arXiv preprint arXiv:2509.05994},
  year   = {2025}
}

Comments

14 pages

R2 v1 2026-07-01T05:25:00.992Z