Commutativity in 3-prime nearrings through permutation identities

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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 languageEnglish
Article number2250109
JournalAsian-European Journal of Mathematics
Volume15
Issue number6
DOIs
Publication statusPublished - 01-06-2022

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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