Commutativity in 3-prime nearrings through permutation identities

S. Aishwarya; Kedukodi Babushri Srinivas; Kuncham Syam Prasad

doi:10.1142/S1793557122501091

Commutativity in 3-prime nearrings through permutation identities

S. Aishwarya
, Kedukodi Babushri Srinivas^*
, Kuncham Syam Prasad

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

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

6 Citations (Scopus)

Abstract

In this paper, we investigate permutation identities satisfied by semigroup left ideals and weak semigroup left ideals in prime nearrings. We obtain results on commutativity of multiplication and addition using these identities. We provide examples to show the necessity of certain conditions in some of the results obtained. Finally, we give a characterization of Galois field in terms of permutation identities.

Original language	English
Article number	2250109
Journal	Asian-European Journal of Mathematics
Volume	15
Issue number	6
DOIs	https://doi.org/10.1142/S1793557122501091
Publication status	Published - 01-06-2022

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Commutativity in 3-prime nearrings through permutation identities",

abstract = "In this paper, we investigate permutation identities satisfied by semigroup left ideals and weak semigroup left ideals in prime nearrings. We obtain results on commutativity of multiplication and addition using these identities. We provide examples to show the necessity of certain conditions in some of the results obtained. Finally, we give a characterization of Galois field in terms of permutation identities.",

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AU - Aishwarya, S.

AU - Srinivas, Kedukodi Babushri

AU - Prasad, Kuncham Syam

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Y1 - 2022/6/1

N2 - In this paper, we investigate permutation identities satisfied by semigroup left ideals and weak semigroup left ideals in prime nearrings. We obtain results on commutativity of multiplication and addition using these identities. We provide examples to show the necessity of certain conditions in some of the results obtained. Finally, we give a characterization of Galois field in terms of permutation identities.

AB - In this paper, we investigate permutation identities satisfied by semigroup left ideals and weak semigroup left ideals in prime nearrings. We obtain results on commutativity of multiplication and addition using these identities. We provide examples to show the necessity of certain conditions in some of the results obtained. Finally, we give a characterization of Galois field in terms of permutation identities.

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UR - https://www.scopus.com/pages/publications/85113890837#tab=citedBy

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M3 - Article

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JO - Asian-European Journal of Mathematics

JF - Asian-European Journal of Mathematics

IS - 6

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Commutativity in 3-prime nearrings through permutation identities

Abstract

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