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 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 𝒝....

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Main Author: Sonea Andromeda Cristina
Format: Article
Language:English
Published: Sciendo 2020-12-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2020-0044
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author Sonea Andromeda Cristina
author_facet Sonea Andromeda Cristina
author_sort Sonea Andromeda Cristina
collection DOAJ
description 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 𝒝.
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spelling doaj.art-d775396f3643410c8baede49da6635c12022-12-21T23:55:26ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352020-12-0128324125410.2478/auom-2020-0044New aspects in polygroup theorySonea Andromeda Cristina0Department of Mathematics, Alexandru Ioan Cuza, University of Iasi, Bdul Carol I, 700506, Iasi, Romania.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 𝒝.https://doi.org/10.2478/auom-2020-0044polygroupcommutativity degreeextension of polygroups by polygroupsnilpotencityprimary 46g05, 46l05secondary 47a30, 47b47
spellingShingle Sonea Andromeda Cristina
New aspects in polygroup theory
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
polygroup
commutativity degree
extension of polygroups by polygroups
nilpotencity
primary 46g05, 46l05
secondary 47a30, 47b47
title New aspects in polygroup theory
title_full New aspects in polygroup theory
title_fullStr New aspects in polygroup theory
title_full_unstemmed New aspects in polygroup theory
title_short New aspects in polygroup theory
title_sort new aspects in polygroup theory
topic polygroup
commutativity degree
extension of polygroups by polygroups
nilpotencity
primary 46g05, 46l05
secondary 47a30, 47b47
url https://doi.org/10.2478/auom-2020-0044
work_keys_str_mv AT soneaandromedacristina newaspectsinpolygrouptheory