The Role of Boolean and Pseudo Commutativity in Near Rings

International Journal of Mathematics Trends and Technology (IJMTT)
© 2022 by IJMTT Journal
Volume-68 Issue-9
Year of Publication : 2022
Authors : C. Dhivya, D. Radha

How to Cite?

C. Dhivya, D. Radha, "The Role of Boolean and Pseudo Commutativity in Near Rings," International Journal of Mathematics Trends and Technology, vol. 68, no. 9, pp. 34-38, 2022. Crossref,

In this paper we have discussed about Boolean near rings and pseudo commutative in near rings. Hansen, D.J. and Jiang Luh[6] have stated that if N is a Boolean near ring, then xy=xyx for each x,y ε N. It has been proved in this paper by using the lemma if N is a Boolean near ring, then ab=0 implies ba = b0 for all a,b ε N. We have also generalized this lemma to m≥1 and n≥1. It is obtained that every Boolean near ring with commutativity is pseudo commutative.

Keywords : Boolean, Commutative, Pseudo Commutative, Weak Commutative, Zero symmetric.


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