New aspects in polygroup theory

The aim of this paper is to compute the commutativity degree in polygroup’s theory, more exactly for the polygroup 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 𝒝....

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Published inAnalele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică Vol. 28; no. 3; pp. 241 - 254
Main Author Sonea, Andromeda Cristina
Format Journal Article
LanguageEnglish
Published Sciendo 01.12.2020
Subjects
commutativity degree
extension of polygroups by polygroups
nilpotencity
polygroup
Primary 46G05, 46L05
Secondary 47A30, 47B47
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Summary:The aim of this paper is to compute the commutativity degree in polygroup’s theory, more exactly for the polygroup 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 𝒝.
ISSN:1844-0835
1844-0835
DOI:10.2478/auom-2020-0044