<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

Data publikacji: 28 gru 2020

Zakres stron: 241 - 254

Otrzymano: 27 gru 2019

Przyjęty: 17 lut 2020

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

Słowa kluczowe
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

Data publikacji: 28 gru 2020

Zakres stron: 241 - 254

Otrzymano: 27 gru 2019

Przyjęty: 17 lut 2020

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

Słowa kluczowepolygroup, 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.

Słowa kluczowe
polygroup, commutativity degree, extension of polygroups by polygroups, nilpotencity