<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The aim of this paper is to compute the commutativity degree in polygroup’s theory, more exactly for the polygroup <italic>P<sub>G </sub></italic>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 𝒝.</p></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 𝒝.

New aspects in polygroup theory

Department of Mathematics, Alexandru Ioan Cuza

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"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...

New aspects in polygroup theory

Publié en ligne: 28 déc. 2020

Pages: 241 - 254

Reçu: 27 déc. 2019

Accepté: 17 févr. 2020

DOI: https://doi.org/10.2478/auom-2020-0044

Mots clés
polygroup, commutativity degree, extension of polygroups by polygroups, nilpotencity

© 2020 Andromeda Cristina Sonea, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

New aspects in polygroup theory

Publié en ligne: 28 déc. 2020

Pages: 241 - 254

Reçu: 27 déc. 2019

Accepté: 17 févr. 2020

DOI: https://doi.org/10.2478/auom-2020-0044

Mots cléspolygroup, commutativity degree, extension of polygroups by polygroups, nilpotencity

© 2020 Andromeda Cristina Sonea, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
polygroup, commutativity degree, extension of polygroups by polygroups, nilpotencity