Subpolygroup commutativity degree of finite extension polygroup

M. Al-Tahan; B. Davvaz; P. Harikrishnan; P. Pallavi

doi:10.1142/S0218196723500698

Subpolygroup commutativity degree of finite extension polygroup

M. Al-Tahan
, B. Davvaz
, P. Harikrishnan^*
, P. Pallavi

^*Corresponding author for this work

School of Basic Sciences, Humanities and Management

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we consider finite extension polygroups as a special class of polygroups to study probabilistic polygroup theory. In this regard, we study the subpolygroup lattice of the extension polygroups. By using the results of the subpolygroup lattice, we obtain an explicit formula for the subpolygroup commutativity degree of the extension polygroup.

Original language	English
Pages (from-to)	55-68
Number of pages	14
Journal	International Journal of Algebra and Computation
Volume	34
Issue number	1
DOIs	https://doi.org/10.1142/S0218196723500698
Publication status	Published - 01-02-2024

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Subpolygroup commutativity degree of finite extension polygroup",

abstract = "In this paper, we consider finite extension polygroups as a special class of polygroups to study probabilistic polygroup theory. In this regard, we study the subpolygroup lattice of the extension polygroups. By using the results of the subpolygroup lattice, we obtain an explicit formula for the subpolygroup commutativity degree of the extension polygroup.",

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AU - Al-Tahan, M.

AU - Davvaz, B.

AU - Harikrishnan, P.

AU - Pallavi, P.

PY - 2024/2/1

Y1 - 2024/2/1

N2 - In this paper, we consider finite extension polygroups as a special class of polygroups to study probabilistic polygroup theory. In this regard, we study the subpolygroup lattice of the extension polygroups. By using the results of the subpolygroup lattice, we obtain an explicit formula for the subpolygroup commutativity degree of the extension polygroup.

AB - In this paper, we consider finite extension polygroups as a special class of polygroups to study probabilistic polygroup theory. In this regard, we study the subpolygroup lattice of the extension polygroups. By using the results of the subpolygroup lattice, we obtain an explicit formula for the subpolygroup commutativity degree of the extension polygroup.

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UR - https://www.scopus.com/pages/publications/85183554100#tab=citedBy

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DO - 10.1142/S0218196723500698

M3 - Article

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EP - 68

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 1

ER -

Subpolygroup commutativity degree of finite extension polygroup

Abstract

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