TY - JOUR
T1 - Commutativity in 3-prime nearrings through permutation identities
AU - Aishwarya, S.
AU - Srinivas, Kedukodi Babushri
AU - Prasad, Kuncham Syam
N1 - Publisher Copyright:
© 2022 World Scientific Publishing Company.
PY - 2022/6/1
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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U2 - 10.1142/S1793557122501091
DO - 10.1142/S1793557122501091
M3 - Article
AN - SCOPUS:85113890837
SN - 1793-5571
VL - 15
JO - Asian-European Journal of Mathematics
JF - Asian-European Journal of Mathematics
IS - 6
M1 - 2250109
ER -