On Two Generalizations of Perspective Abelian Groups

2025/09/07 by Chekhlov, Andrey R., Danchev, Peter V., Taşdemir, Özg ür
#20K20 #20K21 #20K30 #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2509.05994

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.

Citations

• On perspective Abelian groups
• Perspectivity and cancellation in regular rings

Related

• How to sum up triangles
• Orthogonal and strong frame starters, revisited
• Unusual elementary axiomatizations for abelian groups
• Research topics in finite groups and vertex algebras
• From uncountable abelian groups to uncountable nonabelian groups