<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

Published Online: Dec 28, 2020

Page range: 241 - 254

Received: Dec 27, 2019

Accepted: Feb 17, 2020

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

Keywords
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

Published Online: Dec 28, 2020

Page range: 241 - 254

Received: Dec 27, 2019

Accepted: Feb 17, 2020

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

Keywordspolygroup, 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.

Keywords
polygroup, commutativity degree, extension of polygroups by polygroups, nilpotencity