New aspects in polygroup theory

Abstract

The aim of this paper is to compute the commutativity degree in polygroup’s theory, more exactly for the polygroup PG and for extension of polygroups by polygroups, obtaining boundaries for them. Also, we have analyzed the nilpotencitiy of 𝒜[𝒝], meaning the extension of polygroups 𝒜 and 𝒝.

Keywords

• polygroup
• commutativity degree
• extension of polygroups by polygroups
• nilpotencity
• primary 46g05, 46l05
• secondary 47a30, 47b47